Vitae

Professional Interests:

Harmonic Analysis, Functional Analysis, Mathematics for General Audiences, Curriculum Development.

Education:

  • 1969: Licenciada (M.S.) in Mathematics, Universidad de Buenos Aires.

  • 1976: Doctora (Ph.D.) in Mathematics, Universidad de Buenos Aires. Thesis Advisor: Alberto P. Calderón.

Academic Positions:

  • 1970-1973: Ayudante (Teaching Assistant), Universidad de Buenos Aires.

  • 1973-1976: Jefe de Trabajos Prácticos (Teaching Associate), Universidad de Buenos Aires.

  • 1976-1979: Profesor Adjunto (Assistant Professor), University of Buenos Aires.

  • 1979-1984: Profesor Asociado (Associate Professor), University of Buenos Aires.

  • 1980-1990: Investigador Independiente (Independent Researcher), CONICET (National Council of Sciences, Argentina).

  • 1984-1985: Visiting Scholar, Department of Mathematics, Princeton University.

  • 1986: Visiting Scholar, Department of Mathematics, University of Chicago.

  • 1986-1990: Associate Professor, Florida Atlantic University, tenured in 1988.

  • 1990-: Professor, tenured in 1991, member of the Graduate Faculty, New Mexico State University.

  • 1997-: Member of the Honors College Faculty, New Mexico State University.

Awards:

  • Coca-Cola in Arts and Sciences Award for mathematical research, Argentina, 1983, $3,000.

  • El Paso Energy Foundation Faculty Achievement Award, 1998, $3,000.

  • First Manasse Chair Award, College of Arts and Sciences, New Mexico State University, 2000-2002, $12,000.

Grants:

  • Fellowship, Scuola Normale Superiore de Pisa, Italy, 1973.

  • Fellowship, National Council of Sciences, Argentina, 1984-1986, $36,000.

  • Research appointment, Department of Mathematics, University of Chicago, 1986, $19,600.

  • Grant (with F. Cobos, M. Milman, F. Soria) U.S.-Spain cooperation program, National Science Foundation, 1988, $7,200.

  • Travel Grant, CNPq National Council of Sciences, Brazil, 1988, for research collaboration.

  • Travel Grant, National Council of Sciences, Sweden, 1989, for research collaboration.

  • Florida Atlantic University Summer Research Fellowship (with N. Erdol, and G. Pajunen, Department of Electrical Engineering), 1990, $15,068, for an interdisciplinary research project.

  • Travel Grant, Instituto de Matemáticas, Universidad Nacional Autónoma de México, 1994, to present a series of lectures.

  • Travel Grant, Universidad Autónoma de Madrid, Spain, 1996, for research collaboration.

  • Travel Grant, Universitat de Barcelona, Spain, 1996, for research collaboration.

  • Travel Grant, Université de Mons, Belgium, 1996, for research collaboration.

  • Travel Grant, Umeä University, Sweden, 1996, to present a series of lectures.

  • Travel Grant, Royal Institute of Technology, Sweden, 1996, to present a colloquium talk.

  • Travel Grant, Programa de Matemática Aplicada, Santa Fe, Argentina, 1998, to present a series of lectures.

  • Minigrant, Research Center, College of Arts and Sciences, New Mexico State University, 1999, for a research collaboration.

  • Grant (with J. Lakey and C. Pereyra, to organize the New Mexico Analysis Seminar), National Science Foundation, 2001-2003, $20,941.

  • Grant (for curriculum development), New Mexico Collaborative for Excellence in Teacher Preparation, National Science Foundation, 2001-2002, $25,062.

  • Travel Grant, Mathematical Association of America, to present three minicourses at the National Mathematics Meetings, 2002-2004.

  • Travel Grant, Universidad de La Laguna, Spain, 2004, to present a course module, to lecture at the Semester in Harmonic Analysis, and to meet with the Editorial Board of Matematicalia.

  • Grant (for research) NSF-ADVANCE Program at NMSU, National Science Foundation, 2004, $21,420.

  • Travel Grant, University of Sonora, Mexico, 2005, to present three lectures to advanced undergraduate students, graduate students and faculty.

  • Travel Grant, Sociedad Matemática Mexicana, 2005, to present a one-hour invited lecture at its annual meeting in Mexico City.

Editorial Activities:

  • 2002-2007: Associate Editor, Rocky Mountain Journal of Mathematics.

  • 2003-2005: Member of the Advisory Board of Matematicalia.

  • 2005-: Member of the Editorial Board of Matematicalia, author of the column "¿Qué pasaría si ...?" ("What if ...?").

Reviewing Activities:

  1. Articles refereed for

    1. Mathematical and Computing Modelling.

    2. Proceedings of the American Mathematical Society.

    3. Journal of Mathematical Analysis and Applications.

    4. Proyecciones, Revista de Matemática de la Universidad Católica del Norte, Chile.

    5. Forum Mathematicum.

    6. Constructive Approximation.

    7. Rocky Mountain Journal of Mathematics.

    8. Journal of the London Mathematical Society.

    9. Mathematische Nachrichten.

    10. Collectanea Mathematica.

    11. Electronic Journal of Differential Equations.

    12. International Journal of Mathematics.

    13. Colloquium Mathematicum.

    14. Studia Mathematica.

    15. Georgian Mathematical Journal.

  2. Articles and books reviewed for

    1. Mathematical Reviews.

    2. Zentralblatt für Mathematik.

  3. Proposals reviewed for

    1. National Science Foundation.

    2. U.S. Civilian Research and Development Foundation.

  4. Numerous book manuscripts reviewed for several publishers.

Selected Service:

  • 1977-1979: Graduate Advisor, School of Sciences, University of Buenos Aires.

  • 1984: Assistant Chair, Department of Mathematics, School of Sciences, University of Buenos Aires.

  • 1987-1989: Elected member, University Senate, Florida Atlantic University.

  • 1990: American Mathematical Society representative to the Meeting of the National Board for Professional Teaching Standards, Miami, Florida.

  • 1991-1995: Chair, Committee on Academic Freedom, Tenure, and Employment Security, American Mathematical Society.

  • 1991-1995: Chair, Undergraduate Curriculum Committee, Department of Mathematical Sciences, New Mexico State University.

  • 1992-1995: Member, Western Section Program Committee, American Mathematical Society.

  • 1995-1998: Chair, Distinguished Visiting Professorship Committee, New Mexico State University.

  • 1995, 1997, 1998, 2005: Elected member and chair, Promotion to Professor Subcommittee, Department of Mathematical Sciences, New Mexico State University.

  • 1996-1997: Chair, American Mathematical Society-Mathematical Association of America Joint Program Committee for the annual meeting in San Diego, CA, January 1997.

  • 1997-1998: Member, American Mathematical Society-Sociedad Matemática Mexicana Joint Program Committee.

  • 1997-1998: Elected member and chair, Department Head Search Subcommittee, Department of Mathematical Sciences, New Mexico State University.

  • 1997-1999: Colloquium Chair, Department of Mathematical Sciences, New Mexico State University.

  • 1997-2002: Chair, Graduate Studies Committee, Department of Mathematical Sciences, New Mexico State University.

  • 1998-1999: Member, Publications and Communications Board, Associated Students, New Mexico State University.

  • 1999-2006: Liaison for the Unión Matemática Argentina.

  • 1999-2002: Chair, Committee on Committees, American Mathematical Society.

  • 1999-2000: Elected member and chair, Hiring Long Term Planning Committee, Department of Mathematical Sciences, New Mexico State University.

  • 1999-2005: Member of the proposal writing team and member of the Steering Committee, New Mexico Alliance for Graduate Education and the Professoriate (NM-AGEP), statewide program supported by the National Science Foundation.

  • 2001-2003: Elected member, Graduate Council, New Mexico State University.

  • 2002-2003: Elected member and chair, Tenure and Promotion to Associate Professor Subcommittee, Department of Mathematical Sciences, New Mexico State University.

  • 2002-2006: Member of the Recruitment Committee, NSF-ADVANCE program, New Mexico State University.

  • 2004-: Elected member, Faculty Affairs Committee, College of Arts & Sciences, New Mexico State University.

  • 2004: Member, Nomination and Feedback Committee for the selection of Associate Dean for Research and Director of the Research Center, College of Arts and Sciences, New Mexico State University.

  • 2005-: Member, Liaison C, Department of Mathematical Sciences, New Mexico State University.

  • 2007-: Chair, Undergraduate Majors and Minors Committee, Department of Mathematical Sciences, New Mexico State University.

Consulting:

  1. Stephen Austin State University, Nacogdoches, Texas, 1997. In site consulting visit on the design of a terminal mathematics course for non-science majors. The course was successfully implemented in 1998 and it has been offered ever since.

  2. New Mexico Teacher Assessment Passing Score Review, National Evaluation Systems, Inc., Albuquerque, NM, 2002.

  3. Kansas State University's Targeted Excellence Project, Outside reviewer, 2003, 2004.

Invited Presentations at Research Conferences:

  • 1972, 1976-1983: Annual Meeting of the Union Matemática Argentina.

  • 1978: IV Escuela Latinoamericana de Matemática, Lima, Peru.

  • 1979: Seminar on Fourier Analysis, El Escorial, Spain.

  • 1981: X Congreso Latinoamericano de Matemática, Paipa, Colombia.

  • 1981: Seminario Latinoamericano de Análisis, Santa Fe, Argentina.

  • 1983: Seminar on Fourier Analysis, El Escorial, Spain.

  • 1984: Julio R. Pastor Lecture, Annual Meeting of the Unión Matemática Argentina, Córdoba.

  • 1985: Special Session on ``Maximal functions in harmonic analysis,'' 823rd meeting AMS, Columbia, MO.

  • 1988: Conference on Harmonic Analysis and its Applications, Mathematical Sciences Research Institute, Berkeley, CA.

  • 1988: Mini Conference on Harmonic Analysis and Related Topics, Auburn University, AL.

  • 1989: Topics in Pseudo-differential Operators, Oberwolfach, Germany.

  • 1989: NSF-CBMS Regional Research Conference on Singular Integral Operators, Missoula, MT.

  • 1989: Special Session on "Harmonic Analysis," 853rd meeting American Mathematical Society, Los Angeles, CA.

  • 1991: Plenary address, 865th meeting American Mathematical Society, Tampa, FL.

  • 1991: X Latin American School of Mathematics, Córdoba, Argentina.

  • 1992: Special Session on "Harmonic Analysis," 872nd meeting American Mathematical Society, Tuscaloosa, AL.

  • 1992: Sixth International Workshop in Analysis and Its Applications, Orono, ME.

  • 1993: Spring Lecture Series, University of Arkansas, Fayetteville, AR.

  • 1994: International Conference in Honor of Mischa Cotlar, Caracas, Venezuela.

  • 1995: Special Session on "Classical Harmonic Analysis", 902nd Meeting American Mathematical Society, Burlington, VT.

  • 1995: Special Session on "Functional and Harmonic Analysis", II Joint Meeting American Mathematical Society-Sociedad Matemática Mexicana, Guanajuato, Mexico.

  • 1997: Seventh International Workshop in Analysis and its Applications, Orono, Maine.

  • 1997: Special Session on "Functional and Complex Analysis", III Joint Meeting American Mathematical Society-Sociedad Matemática Mexicana, Oaxaca, Mexico.

  • 1998: Special Session on "Fourier Analysis", 935th Meeting American Mathematical Society, Chicago, Il.

  • 1999: International Conference on Algebraic Analysis, Warsaw, Poland.

  • 2002: Special Session on "Function Spaces in Harmonic Analysis and PDEs", 976th Meeting American Mathematical Society, Montreal, Canada.

  • 2002: Special Session on "Function Spaces, Singular Integrals and Applications to PDEs", 982th Meeting American Mathematical Society, Orlando, FL.

  • 2006: Special Session on "Structure of Function Spaces and Applications", 1015th Meeting American Mathematical Society, Miami, FL.

Organization of Research Conferences:

  • 1991: Organizer, Special Session on "Harmonic Analysis and Applications", 865th meeting American Mathematical Society, Tampa, FL.

  • 1993: Organizer, Special Session on "Harmonic Analysis and Applications", 886th Meeting American Mathematical Society, College Station, TX.

  • 1998-2003: Co-founder and co-organizer, New Mexico Analysis Seminar, supported by the National Science Foundation in 2001-2003.

  • 1999: Co-organizer, Special Session on "Functional Analysis and Applications", IV Joint Meeting American Mathematical Society-Sociedad Matemática Mexicana, Denton, Texas.

  • 2001: Co-organizer, Special Session on "Functional and Harmonic Analysis", V Joint Meeting American Mathematical Society-Sociedad Matemática Mexicana, Morelia, Mexico.

  • 2004: Co-organizer, Special Session on "Functional and Harmonic Analysis", VI Joint Meeting American Mathematical Society-Sociedad Matemática Mexicana, Houston, TX.

  • 2007: Co-organizer, Special Session on "Functional and Harmonic Analysis in Memory of Mischa Cotlar", VII Joint Meeting American Mathematical Society-Sociedad Matemática Mexicana, Zacatecas, Mexico.

Colloquium Talks:

  • Instituto Argentino de Matemática, Buenos Aires, 1976.

  • Departamento de Matemáticas, Universidade Federal de Pernambuco, Brazil, 1978.

  • Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brazil, 1981.

  • Programa de Matemática Aplicada, Santa Fe, Argentina, 1984.

  • University of Maryland, College Park, 1985.

  • Southern Illinois University, Carbondale, 1985.

  • Calderón-Zygmund Seminar, University of Chicago, 1985.

  • Princeton University, 1985.

  • Florida Atlantic University, 1986.

  • Calderón-Zygmund Seminar, University of Chicago, 1986.

  • Departamento de Matemática, School of Sciences, University of Buenos Aires, Argentina, 1986.

  • Instituto Argentino de Matemática, Buenos Aires, 1986.

  • Departamento de Matematicas, Universidade Federal de Pernambuco, Brazil, 1988.

  • Department of Mathematics, Universidad Autónoma de Madrid, Spain, 1989.

  • Department of Mathematics, Umeä University, Sweden, 1989.

  • Department of Mathematical Sciences, New Mexico State University, 1990.

  • Department of Mathematics, Bryn Mawr College, 1990.

  • Department of Mathematics, University of New Mexico, 1990.

  • Instituto Argentino de Matemática, Buenos Aires, Argentina, 1991.

  • Department of Mathematics, University of Texas at El Paso, 1992.

  • Department of Mathematics, Universidad Autónoma de Madrid, Spain, 1996.

  • Department of Mathematics, Universitat de Barcelona, Spain, 1996.

  • Department of Mathematics, Université de Mons, Belgium, 1996.

  • Department of Mathematics, Umeä University, Sweden, 1996.

  • Joint Analysis Seminar, Royal Institute of Technology-Stockholm University, Sweden, 1996.

  • Instituto de Matemática, Cuernavaca, Mexico, 1997.

  • Programa de Matemática Aplicada, Santa Fe, Argentina, 1998.

  • Instituto Argentino de Matemática, Buenos Aires, 1998.

  • Department of Mathematics, Kansas State University, 2002.

  • Departamento de Análisis Matemático, Universidad de La Laguna, Tenerife, Spain, 2004.

  • Department of Mathematical Sciences, New Mexico State University, 2005.

  • Departamento de Matemática, Universidad de Sonora, Mexico, 2005.

  • Departamento de Matemática, Instituto Tecnológico Nacional de Mexico, 2007.

Membership in Scientific Societies:

  • American Mathematical Society.

  • Unión Matemática Argentina.

Supervision of Graduate and Post-Graduate Students:

Master's Theses
School of Sciences, University of Buenos Aires, Argentina, 1976-1984 (eleven theses).
School of Mathematics, Physics and Astronomy, University of Cordoba, Argentina, 1977 (one thesis).
Doctoral Dissertations
Cristina Zorko, "Los espacios de Morrey," School of Sciences, University of Buenos Aires, Argentina, 1984.
David Emery, "Pseudo-differential Operators with Non-Isotropic Symbols" New Mexico State University, 1998.
Hamed Obiedat, "Topological Characterizations of the Schwartz Space and the Beurling-Björck Space", New Mexico State University, 2005.
Lloyd Moyo, "Maximal Codomains for the Laplace Operator and the Product Laplace Operator", New Mexico State University, 2006.
Post-Doctoral Students
Martha Guzmán-Partida, Ph.D. Universidad Nacional Autónoma de México, 1997-1998.
Doctoral Students
Currently supervising one doctoral student.

Refereed Articles on Harmonic Analysis and Functional Analysis:

  1. "On the inversion of pseudo-differential operators". Studia Mathematica 64 (1979), 25-32.

  2. "Existence of a functional calculus on certain algebras of pseudo-differential operators". Journal of the Unión Matemática Argentina 29 (1979), 55-76. Volume in honor of Luis A Santaló.

  3. (with A. P. Calderón), "Functional calculi for pseudo-differential operators, I". Proceedings of the Seminar on Fourier Analysis held at El Escorial, Sociedad Matemática Española 1 (1979), 1-61.

  4. "Some facts about regularizing pseudo-differential operators". Proceedings of the IV Escuela Latinoamericana de Matemática, Lima, Peru, 11-20, (1979).

  5. "The distribution function in the Morrey space". Proceedings of the American Mathematical Society 83 (1981), 693-699.

  6. "The kernel of a regularizing operator". Journal of the Unión Matemática Argentina 30 (1982), 110-114.

  7. (with A. P. Calderón), "Functional calculi for pseudo-differential operators, II". Studies in Applied Mathematics 8, Academic Press (1983), 27-72. Volume in honor of Irving Segal.

  8. "An algebra of Lp-bounded pseudo-differential operators". Journal of Mathematical Analysis and Applications 84 (1983), 268-282.

  9. "Functions of Lp-bounded pseudo-differential operators". Proceedings of the Seminar on Fourier Analysis, El Escorial, Spain, North Holland (1985), 3-11.

  10. (with M. Milman), "Hp continuity properties of Calderón-Zygmund type operators". Journal of Mathematical Analysis and Applications 118 (1986), 63-79.

  11. (with M. Milman), "Vector valued inequalities for strongly singular Calderón-Zygmund operators." Revista Iberoamericana de Matemática 2 (1986), 205-226.

  12. (with M. Milman), "Interpolation of tent spaces and applications". Proceedings of the International Conference on Interpolation, Lund, Sweden, 1986. Lecture Notes in Mathematics, No. 1302, 11-21, Springer.

  13. (with R. Durán), "On the Lp continuity of pseudo-differential operators with discontinuous symbols". Proceedings of the American Mathematical Society 104 (1988), 165-168.

  14. "A remark on the H1-BMO duality in product domains". Colloquium Mathematicum 58 (1989), 39-42.

  15. (with M. Milman), "Carleson measures: Duality and interpolation". Arkiv för Matematik 25 (1987), 155-174.

  16. "Functional calculi for pseudo-differential operators, III". Studia Mathematica 95 (1989), 53-71.

  17. (with J. Hounie), "Estimates for the kernel of pseudo-differential operators and (Lp,Lq continuity". Arkiv för Matematik 28 (1990), 1-22.

  18. "On the T(1) theorem on product domains". Journal d'Analyse Mathématique, 62 (1994), 155-167.

  19. (with J. Hounie), "Spectral invariance and tameness of pseudo-differential operators on weighted Sobolev spaces". Journal of Operator Theory 30 (1993), 41-67.

  20. (with M. Milman), "Calderón-Zygmund operators and Poisson like operators". Colloquium Mathematicum 60-61 (1990), 361-378. Volume in honor of Antoni Zygmund.

  21. (with R. Bagby, D. Kurtz, C. Pérez), "Weighted estimates for commutators of linear operators". Studia Mathematica 104 (1993), 194-209.

  22. (with C. Pérez), "Estimates with Ainfinity weights for various singular integral operators". Bollettino Unione Mat. Italiana (7) 8-A (1994), 123-133.

  23. (with J. Hounie, C. Pérez), "A pointwise estimate for the kernel of a pseudo-differential operator, with applications". Proceedings of the X Latin American School of Mathematics, Cordoba, Argentina, Revista de la Unión Matemática Argentina 37 (1993), 184-199.

  24. "Hp and weak Hp continuity of Calderón-Zygmund type operators". Fourier Analysis, Analytic and Geometric Aspects, Marcel Dekker, (1994), 17-34.

  25. "Continuity of Calderón-Zygmund type operators on the predual of a Morrey space". Clifford Algebra in Analysis and Related Topics, CRC Press (1996), 309-319.

  26. "Continuity properties for linear commutators of Calderón-Zygmund Operators", Collectanea Mathematica, 49 (1998), 17-31.

  27. (with J. Hounie) "An oscillatory singular integral operator with polynomial phase". Studia Mathematica 133 (1999), 1-18.

  28. (with J. Hounie) "Functions of pseudo-differential operators of non-positive order". Journal of Functional Analysis 141 (1996), 45-59.

  29. (with C. Carton-Lebrun) "Optimal spaces for the S´-convolution with the Marcel Riesz kernels and the n-dimensional Hilbert kernel" . Analysis of Divergence: Control and Management of Divergent Processes, Birkhauser (1999), 233-248.

  30. "Spectra of pseudo-differential operators in the Hörmander class" . Analysis of Divergence: Control and Management of Divergent Processes, Birkhauser (1999), 187-199.

  31. (with M. Guzmán-Partida, J. Lakey) "Spaces of bounded Lambda-central mean oscillation, Morrey spaces, and Lambda-central Carleson measures". Collectanea Mathematica 51 (2000), 1-47.

  32. "The Weyl correspondence as a functional calculus". Proceedings of the International Conference on Algebraic Analysis, Warsaw, Poland, September 1999, Banach Center Publications 53, Polish Academy of Sciences, 2000, 79-88.

  33. (with M. Folch-Gabayet, S. Pérez-Esteva) "Banach spaces solutions of the Helmholtz equation in the plane". Journal of Fourier Analysis and Applications 7 (2001), 49-62.

  34. (with M. Guzmán-Partida) "The S´-convolution with singular kernels in the Euclidean case and the product domain case". Journal of Mathematical Analysis and Applications 270 (2002), 405-434.

  35. (with M. Guzmán-Partida, U. Skórnik) "S´-convolvability with the Poisson kernel in the Euclidean case and the product domain case". Studia Mathematica 156 (2003), 143-163.

  36. (with H. Obiedat) "Characterizations of the Schwartz space S and the Beurling-Björck space Sw". Cubo 6 (2004), 167-183.

  37. (with M. Guzmán-Partida, S. Pérez-Esteva) "Harmonic extensions of distributions", Mathematische Nachrichten 280, No. 13-14 (2007), 1443-1466.

  38. (with M. Guzmán-Partida, S. Pérez-Esteva) "N-harmonic extensions of weighted integrable distributions", Journal of Function Spaces and Applications, Volume 4, No. 3 (2006), 305-327.

  39. (with L. Moyo) "Optimal codomains for the Laplace operator and the product Laplace operator", Journal of Function Spaces and Applications, Volume 5, No. 3 (2007), 269-285.

  40. (with M. Eydenberg, H. Obiedat), "The action of operator semi-groups on the topological dual of the Beurling-Björck space", Journal of Mathematical Analysis and Applications, Volume 339, (2008), 405-418.

  41. (with M.C. Mariani), "Extensions of the Nemytsky operators: Distributional solutions of nonlinear problems", 17 pages, to appear in Journal of Mathematical Analysis and Applications.

Research Monographs and Lecture Notes:

  1. "Distribuciones y transformación de Fourier". Cursos y Seminarios 25, Universidad de Buenos Aires, (1977), 85 pages.

  2. "Temas de ecuaciones en derivadas parciales". Cursos y Seminarios 27, Universidad de Buenos Aires, (1979), 119 pages.

  3. "Existence of functional calculi over some algebras of pseudo-differential operators and related topics". Notas de Curso 17, Universidade Federal de Pernambuco, Brazil, (1979), 94 pages.

  4. (with J.E. Bouillet), "Temas de ecuaciones en derivadas parciales, Primera parte". Cursos y Seminarios 30, Universidad de Buenos Aires, (1982), 74 pages.

  5. "Continuity properties of some pseudo-differential operators". Monografías de Matemática 2, Universidad Autónoma de Madrid, Spain, (1982), 43 pages.

  6. (with J. Zilber), "Cálculos funcionales en álgebras de Banach". Cursos y Seminarios 31, Universidad de Buenos Aires, (1984), 134 pages.

  7. "Lecture Notes on the T(1) theorem". Notas de Curso 29, Universidade Federal de Pernambuco, Brazil, (1989), 50 pages.

  8. (with J.E. Bouillet), "Temas de ecuaciones en derivadas parciales, Segunda parte". Cursos y Seminarios 30, Universidad de Buenos Aires, (1992), 54 pages.

  9. "Distributions and Fourier Transform". Cuadernos de Matemática y Mecánica, Serie de Cursos y Seminarios 7, International Center for Computational Methods and Litoral Applied Mathematics Institute, (2000), Argentina, 89 pages, in its second edition.

  10. "La Geometría de los Espacios de Hilbert". Material Didáctico No. 10, Departamento de Matemáticas, University of Sonora, Mexico, (2005), 39 pages.

Educational Activities:

  1. Course Offerings: I have designed and/or taught courses at all levels, for instance, Freshman Year Experience, College Algebra, Mathematics Appreciation (including an Honors version), Calculus, Advanced Calculus, Linear Algebra, History of Mathematics, Ordinary Differential Equations, Discrete Mathematics, Mathematics for Engineering, Mathematics for Physics, Partial Differential Equations, Real Analysis, Complex Analysis, Functional Analysis and Special Topics Courses at various levels. In many cases, I acted as coordinator for large, multisection courses.

  2. Curriculum Development:

    1. (with D. Finston, M. Gehrke, P. Morandi) Themes for a First Semester Calculus Course, New Mexico State University, 1992-1993.

    2. Materials for a Course on Mathematics Appreciation for Non-Science Majors, New Mexico State University, 1994-1997, 2002.

    3. Materials for an Introductory Course on Real Analysis, New Mexico State University, 1997.

    4. The Accidental Mathematician (HON 210G), Honors Program course development, New Mexico State University, 1997-2001.

    5. Materials for a First Semester Calculus Course for Engineering Technology Majors, New Mexico State University, 1998-1999.

    6. Materials for a First Semester Calculus Course for Life Science and Management Science Majors, New Mexico State University, 1998-1999.

    7. Materials for a Graduate Course on Complex Analysis, New Mexico State University, 1998-1999.

    8. Materials for a Graduate Course on Functional Analysis, New Mexico State University, 1998-2000.

    9. Materials for a Graduate Course on Real Analysis, New Mexico State University, 2000-2002.

    10. Materials for a Course on Discrete Mathematics for High School Teachers, Secondary Mathematics Education Majors, and Mathematics Education Graduate Students, New Mexico State University, 2001, supported by the National Science Foundation through the New Mexico Collaborative on Excellence in Teacher Preparation.

    11. (with M. Kingery), Mathematics by Inquiry, packet for participants in a workshop for mathematics high school teachers, Fall Conference of the New Mexico Collaborative for Excellence in Teacher Preparation, National Science Foundation, Ruidoso, New Mexico, 2001, 96 pages.

    12. Incorporating Discrete Mathematics in the Preparation of K-12 Mathematics Teachers, packet for participants in three minicourses presented at the National Meetings in 2002, 2003, 2004, with the sponsorship of the Mathematical Association of America, 78 pages.

  3. Advising and Mentoring:

    1. Advisor, Honors students oral and poster presentations at the Undergraduate Research and Creative Arts Symposium, New Mexico State University, 2000, 2001.

    2. Mentor, EXITO! retention program for high school and freshman undergraduate students, New Mexico State University, funded by the Kellogg Foundation, 2000-2003.

    3. Mentor, NSF-ADVANCE Program, New Mexico State University, funded by the National Science Foundation, 2001-2006.

    4. Currently advising twelve undergraduate mathematics majors.

    5. Member of numerous Master's and doctoral committees.

    6. 2003-: Judge, Southern New Mexico Science Fair.

    7. 2002-: Judge, Graduate Research and Creative Arts Symposium, New Mexico State University.

  4. Presentations at Conferences, Universities and Schools:

    1. Participant in the panel discussion Women in Mathematics: An International Perspective, International Congress of Mathematicians, Berkeley, CA, 1986.

    2. Participant, Start Graduate School Workshop, Women Studies Program, New Mexico State University, 1991.

    3. Teaching Mathematics Courses with Themes, presentation at the Harvard Conference on the Teaching of Calculus, Cambridge, MA, 1992.

    4. Teaching Mathematics Appreciation, colloquium talk, Department of Mathematical Sciences, New Mexico State University, 1995.

    5. Mathematics Appreciation, one-hour invited talk, Mathematical Association of American Regional Meeting, Grants, NM, 1997.

    6. Designing a terminal mathematics course for non-science majors, colloquium talk, Stephen Austin State University, Nacogdoches, Texas, 1997.

    7. El Matemático Accidental, colloquium talk, Departamento de Matemática, School of Sciences, University of Buenos Aires, Argentina, 1998.

    8. La evolución histórica del teorema fundamental del cálculo, invited one-hour talk, Instituto Argentino de Matemática, 1998.

    9. La tecnología en la enseñanza de la matemática, invited one-hour lecture delivered as part of the activities en celebration of the XXXVI anniversary of the Instituto Tecnológico de Ciudad Juárez, Mexico, 2000.

    10. Academic Careers, presentation to first year McNair scholars, New Mexico State University, 2000, 2005.

    11. The sound of mathematics, Manasse Chair Award acceptance lecture, New Mexico State University, 2000.

    12. Counting infinite sets, two class presentations at Mayfield High School, Las Cruces, New Mexico, 2001.

    13. Similarity and self-similarity, two class presentations at Oñate High School, Las Cruces, New Mexico, 2001.

    14. Going to college, careers in mathematics, three class presentations at Mayfield High School, Las Cruces, New Mexico, 2001.

    15. What does it take to be a mathematician, what do I do as a math person at NMSU?, Mayfield High School, Las Cruces, New Mexico, 2001.

    16. Why is animal size so important? All about King Kong, two class presentations at Mayfield High School, Las Cruces, New Mexico, 2001.

    17. Scaling up and down, Las Cruces Prefreshman Engineering Program (PREP), New Mexico State University, 2001.

    18. Tecnología Educativa (El uso de recursos existentes en el Internet en la enseñanza de la matemática), invited one-hour talk, Primer Symposium Internacional de Ingeniería y Ciencias Económico-Administrativas, Instituto Tecnológico de Ciudad Juárez, Mexico, 2001.

    19. Doubling processes, presentation to the mathematics education majors, College of Education, New Mexico State University, 2001.

    20. Moderator of the panel discussion Women in Science, Mathematics and Engineering, New Mexico Alliance for Graduate Education and the Professoriate Conference, New Mexico State University, 2001.

    21. Drawing over the phone, two class presentations at Mayfield High School, Las Cruces, New Mexico, 2002.

    22. Letting it go tightly, presentation at a panel of Honors faculty on teaching practices, Conroy Honors Center, New Mexico State University, 2002.

    23. Cross-stitching in the news, one-hour presentation to mathematics education majors, College of Education, New Mexico State University, 2002.

    24. Life of Lolina, invited talk, Distinguished Women in Engineering and Science Lecture Series, Kansas State University, 2002.

    25. Teaching Discrete Mathematics in K-12, presentation at the Fifth Annual Mathematics Education Institute, New Mexico State University, 2002.

    26. Los matemáticos accidentales, Module in the interdisciplinary course Sociedad, Ciencia, Tecnología y Matemática, Universidad de La Laguna, Tenerife, Spain, March - October, 2004.

    27. Careers in Mathematics, Las Cruces Prefreshman Engineering Program (PREP), New Mexico State University, 2005.

    28. The mathematics of color and shape, presentation to the NMSU chapter of Pi Mu Epsilon, Mathematics Honor Society, 2005.

    29. The geometry of Hilbert spaces, three one-hour lectures presented in the Department of Mathematics, University of Sonora, Mexico, May 2005.

    30. Bernstein polynomials: From classical analysis to computer aided design, one-hour invited lecture, XXXVIII Annual Meeting of the Sociedad Matemática Mexicana, Mexico City, Mexico, October 2005.

    31. The miraculous libarians: The role of linear algebra and analysis in Google's PageRank algorithm, one-hour invited lecture, XL Annual Meeting of the Sociedad Matemática Mexicana, Monterrey, Mexico, October 2007.

  5. Organization of Workshops and Special Sessions:

    1. Coordinator, Facing Choices After High School, program for high school students and teachers in Palm Beach and Broward Counties, Florida, 1989.

    2. Evaluating Group Work, Project NEXT (New Experiences in Teaching) Summer Workshop, Burlington, VT, 1995.

    3. Teaching Mathematics Appreciation to Non-Science Majors, Chautauqua Course, Science Education Center, College of Education, University of Texas, Austin, June 1997, supported by the National Science Foundation.

    4. Teaching Mathematics Appreciation to Non-Science Majors, workshop, Stephen Austin State University, Nacogdoches, Texas, 1997.

    5. An Integrated Approach to the Precalculus/Calculus Curriculum, Chautauqua Course, Alliance for Minority Participation, Resource Center for Science and Engineering, University of Puerto Rico, May 1998, supported by the National Science Foundation.

    6. Tutoring in Calculus, training workshop for mathematics tutors, Student Support Services, New Mexico State University, 2000.

    7. (with Michael Kingery), Mathematics by Inquiry, workshop for mathematics high school teachers, Fall Conference of the New Mexico Collaborative for Excellence in Teacher Preparation, National Science Foundation, Ruidoso, New Mexico, 2001.

    8. Incorporating discrete mathematics in the preparation of K-12 mathematics teachers, I, Minicourse sponsored by the Mathematical Association of America, National Joint Meetings, San Diego, January 2002.

    9. Incorporating discrete mathematics in the preparation of K-12 mathematics teachers, II, Minicourse sponsored by the Mathematical Association of America, National Joint Meetings, Baltimore, January 2003.

    10. Incorporating discrete mathematics in the preparation of K-12 mathematics teachers, III, Minicourse sponsored by the Mathematical Association of America, National Joint Meetings, Phoenix, January 2004.

    11. Cross-Stitching in the News (The mathematics of computer aided design), workshop, Mathematical Association of America, Regional Meeting, Flagstaff, 2004.

    12. Special session organizer: A sample of mathematics-centered educational and outreach activities at New Mexico State University, Annual Meeting of the Southwestern Section of the Mathematical Association of America, El Paso, 2005.

    13. Griddy Mathematics: The mathematics and the art of grids, presentation in the Special Session on Mathematical Connections in the Arts, National Joint Meetings, San Antonio, 2006.

  6. Refereed Publications:

    1. (with D. Finston, M. Gehrke, P. Morandi), "Calculus Instruction at New Mexico State University Through Weekly Themes and Cooperative Learning". Proceedings of the Harvard Conference on the Teaching of Calculus, Primus 3 (1993), 83-93.

    2. "Teaching mathematics appreciation to non-science majors". Humanistic Mathematics Network Journal 16, November 1997.

    3. "Mathematics Appreciation" in "Inspiring students: Case studies in motivating the learner". Kogan Page, London (1999), 103-111.

    4. "Loving Math Infinitely". The Chronicle of Higher Education, January 19, 2001, B14.

    5. (with M. Guzmán-Partida), El desarrollo de la integral desde Cauchy a Lebesgue. Arenario 1 (2001), 127-139, journal of mathematics education published by the University of Sonora, Mexico.

    6. Impossible Tilings, Function 28 (2004), 93-102, refereed journal for high school students and teachers published by Monash University, Australia.

    7. Bordando Imágenes, Matematicalia, Volume 1, No. 2, June 2005.

  7. Preprints:

    1. The mathematics of bathroom floors, 17 pages.

    2. Counting the uncountable, 13 pages.

Lolina Alvarez
New Mexico State University
Las Cruces, NM 88003
Phone: 505 646 2717
Fax: 505 646 1064
Email: jalvarez@nmsu.edu