Luis F. Cáceres Ph.D.

luis.caceres1@upr.edu

 

EDUCATION

08/95-12/98 University of Iowa Iowa City, Iowa
Ph.D. in Mathematics
Logic and algebra
G.P.A. 4.0
Passed with High Distinction the Logic Comprehensive Examination.
Recipient of the GAANN (Graduate Assistant Aid in Areas of National Need) Fellowship.

01/89-12/91 University of Puerto Rico Mayagüez, PR
M.S. in Applied Mathematics
Optimization and Control Theory
G.P.A. 4.0

08/84-06/88 Javeriana University Bogotá, Colombia
B.S. in Mathematics
 

PROFESSIONAL EXPERIENCE

07/07-present University of Puerto Rico Mayagüez, PR
Professor

Instructed Abstract Algebra (graduate and undergraduate), Topology (graduate and undergraduate), Logic (graduate and undergraduate), Geometry, Mathematics Foundations, Advanced Calculus, Number Theory, Differential Equations, Math Education, Graduate and Undergraduate Seminars, Calculus I, II, III and Pre –Calculus I and II.

01/08-11/09 University of Puerto Rico Mayagüez, PR
Associate Dean for Research Affairs, Arts and Sciences College 

07/02-06/07 University of Puerto Rico Mayagüez, PR
Associate Professor

02/06-01/07 University of Puerto Rico Mayagüez, PR
Acting Chair, Mathematics Department

12/02-06/03 The College Board San Juan, P.R.
College Board Consultant

01/99-06/02 University of Puerto Rico Mayagüez, PR
Assistant Professor

06/99-05/00 The College Board San Juan, P.R.
College Board Evaluator
Member of the College Board Committee for the Advance Level Exam in mathematics.

Summer 1999 University of Iowa Iowa City, Iowa
Instructor
Seminar in Algebra, Logic and Real Analysis for new Ph.D. Students.

08/96-12/98 University of Iowa Iowa City, Iowa
Teaching Assistant
Instructed Calculus II, Abstract Algebra (undergraduate level) and Topology (graduate level).

08/98-12/98 University of Iowa Iowa City, Iowa
Paper Grader
Grading Logic and Topology (graduate level).

08/96-05/97 University of Iowa Iowa City, Iowa
Math Lab Assistant
Tutoring Pre-Calculus and Calculus at the Mathematics Tutorial Lab.

01/95-07/95 University of Puerto Rico Mayagüez, PR
Instructor
Instructor in the "Saturday Academy of Mathematics Investigation, 1995," teaching high school students and teachers the uses of graphic calculators and their applications.

01/92-07/95 University of Puerto Rico Mayagüez, PR
Mathematics Instructor
Instructed Pre-calculus, Calculus I, II and III, Differential Equations and Mathematics Foundations.

08/93-06/94 University of Puerto Rico Mayagüez, PR
Instructor
Instructor in the "Saturday Academy of Mathematics Investigation, 1993-1994," teaching high school students and teachers the uses of graphic calculators and their applications.

Summer/90 University of Puerto Rico Mayagüez, PR
Computer Programmer
Computer Programmer for the RIMI (Strengthening The Applied and Computational Mathematics Component NSF) project, which involved Optimal Control Problems.

01/89-12/91 University of Puerto Rico Mayagüez, PR
Teaching Assistant
Instructed Pre-calculus and Calculus I and II.

06/89-08/91 University of Puerto Rico Mayagüez, PR
Computer Laboratory Instructor
Instructed a basic course in computer science.

01/88-12/88 Javeriana University Bogotá, Colombia
Professor
Instructed Calculus I, II and III, and Linear Algebra

01/86-12/87 Javeriana University Bogotá, Colombia
Teaching Assistant

THESIS AND PUBLICATIONS

  1. Congruence, Similarity and Concurrency, CEPA Publications, 2010.
  2. Problems and Solutions: Mathematics Olympiads in Puerto Rico: 2008-2009 with Jonathan Ho and Arturo Portnoy, AFAMaC publications, 2009.
  3. Problems and Solutions: Mathematics Olympiads in Puerto Rico: 2007-2008 with Jonathan Ho and Arturo Portnoy, AFAMaC publications, 2007.
  4. Math Activities for the Classroom, AFAMaC publications, 2008.
  5. Problems and Solutions: Mathematics Olympiads in Puerto Rico: 2006-2007 with Jonathan Ho and Arturo Portnoy, AFAMaC publications, 2007.
  6. Problems and Solutions: Mathematics Olympiads in Puerto Rico: 2005-2006 with Jonathan Ho and Arturo Portnoy, AFAMaC publications, 2006.
  7. Problems and Solutions: Mathematics Olympiads in Puerto Rico: 2004-2005 with José Velez, AFAMaC publications, 2005.
  8. Problems and Solutions: Mathematics Olympiads in Puerto Rico: 2001-2004 with Moisés Delgado, Stanislaw Dziobiak, Gerardo Hernández and Arturo Portnoy, IFEM publications, 2005.
  9. Topics in Math Olympiads, IFEM publications, 2004.
  10. Some Divisibility Properties in Rings of Polynomials over a UFD, with José Velez, submitted to Discussiones Mathematicae General Algebra and Applications, 2004.
  11. Ideal Theories for Some Commutative Rings, Bulletin of the Section of Logic, V32/1-2, 2003, pp. 9-18.
  12. Application of Filtered Products and Ultraproducts in Algebra, with Walter J. Meléndez, Revista Integración, Vol. 21 (2003), 1-14
  13. An Effective Procedure for Minimal Basis for Ideals in Z[x], Discussiones Mathematicae General Algebra and Applications, 23 (1), 2003, pp. 5-11.
  14. A description of ideals in Noetherian Rings, with George Nelson, Communications in Algebra, V3, 7, 2003, pp. 3039-3060.
  15. Ultraproducts and Algebraic Structures, The Bulletin of Symbolic Logic, V8, 1, abs. pp127-128, 2002.
  16. Propositional Logic and Algebraic Structures, Proceedings of the ICM-2002, pp. 1.
  17. Ideal Theories of the Ring of Polynomials over the Integers, Bulletin of the Section of Logic, V 30/1, 2001, pp. 21-31.
  18. Ultraproducts and Algebraic Structures , Collegium Logicum, Annals of the Kurt-Godel-Society, V4, 2001, pp. 67.
  19. Filtered Products of Subgroups and Ideals, with Edoardo Carta, Proceedings of the National Conference on Undergraduate Research NCUR 2001.
  20. Ultraproduct of Ideals in a Noetherian Ring, Proceedings of the XV SIDIM, 2001, pp. 19-25.
  21. Ultraproducts of Sets and Ideal Theories of Commutative Rings. Thesis. Ph.D. University of Iowa, Iowa City, Iowa, 1998.
  22. Using the TI-85 Graphic Calculator in the Teaching of Calculus. Journal of the Puertorican Association of Mathematics Professors. San Juan, Puerto Rico, 1995.
  23. A brief story: Emmy Noether . Atenea Journal. Puerto Rico University, Mayagüez, Puerto Rico, 1995.
  24. Solution of an Optimal Control Problem with two Controls and two State Variables . Thesis. MS. University of Puerto Rico, Mayagüez, Puerto Rico, 1991.
  25. Relevant Properties of Arbitrary Rings. Abstract. Bulletin of The Sciences Faculty. Javeriana University, Bogotá, Colombia, 1988.
  26. Relevant Properties of Arbitrary Rings. Thesis. B.S. Javeriana University, Bogotá, Colombia, 1988.

PRESENTATIONS/PROFFESIONAL ACTIVITIES

1.               6to CIEMAC, “Proofs in Geometry”, Cartago, Costa Rica, 2009.

2.               CENTRO 2010, Barbados, 2009.

3.               CENTRO 2010, St. Thomas, 2009.

4.               17th convention of the kangaroo without frontiers, Minsk, Belarus, 2009

5.               Head Coach of The Puerto Rico team for the XI Caribbean and Central-American    Mathematical Olympiad, Bogotá, 2009.

6.               Head Coach of The Puerto Rico team for the XXIV Iberoamerican Mathematics Olympiad, Queretaro, Mexico, 2009

7.               Head Coach of The Puerto Rico team for the 50th International Mathematics Competition, Bremen, Germany,  2009.

8.               Mathematical Olympiad: Planning and Designing Workshop, Jamaica, 2009.

9.               MSP Meeting for directors, Chicago, 2009.

10.           Workshop on Biomedical Research, Notre Dame, Indiana, 2009.

11.           UWI-UPR Collaboration Project, Kingston, Jamaica, 2008.

12.           Iowa Mathematical Field of Dreams Conference, Iowa, 2008

13.           16th convention of the kangaroo without frontiers, Berlin, Germany, 2008

14.           Head Coach of The Puerto Rico team for the XXIII Iberoamerican Mathematics Olympiad, Salvador de Bahia, Brazil, 2008

15.           Head Coach of The Puerto Rico team for the 49th International Mathematics Competition, Madrid,  2008.

16.           Head Coach of The Puerto Rico team for the X Caribbean and Central-American Mathematical Olympiad, Honduras, 2008.

17.           NCTM conference, Utah, 2008.

18.           MSP Meeting for directors, San Francisco, 2008.

19.           AMS meeting, San Diego, 2008.

20.           MSP Meeting for directors, Washington DC, 2007.

21.           15th convention of the kangaroo without frontiers, Graz, Austria, 2007

22.           Head Coach of The Puerto Rico team for the XXII Iberoamerican Mathematics Olympiad, Coimbra, Portugal, 2007

23.           Head Coach of The Puerto Rico team for the 48th International Mathematics Competition, Vietnam,  2007.

24.           Head Coach of The Puerto Rico team for the IX Caribbean and Central-American Mathematical Olympiad, Venezuela,  2007.

25.           AMS meeting, New Orleans, 2007.

26.           5to CIEMAC, “Mathematical Activities in the Classroom”, Cartago, Costa Rica, 2007.

27.           Primer Encuentro Iberoamericano de la Enseñanza del Cálculo y Sexto Encuentro Nacional de la Enseñanza del Cálculo, “Geometric Proofs in Calculus and Precalculus”, Bogotá, Colombia, 2007.

28.           Seminar in Education, “Integrated Math and Problem solving: a short course”, Mérida, Venezuela, 2007.

29.           MSP Meeting for directors, Chicago, 2006

30.           14th convention of the kangaroo without frontiers, Barcelona, Spain, 2006

31.           Head Coach of The Puerto Rico team for the XXI Iberoamerican Mathematics Olympiad, Guayaquil, Ecuador, 2006

32.           Head Coach of The Puerto Rico team for the 47th International Mathematics Competition, Slovenia,  2006.

33.           Head Coach of The Puerto Rico team for the VIII Caribbean and Central-American Mathematical Olympiad, Panama,  2006.

34.           Evaluation for Professional Development of Teachers, Michigan, 2006.

35.           MSP Meeting for directors, Boston 2006.

36.           XXI SIDIM, Problems in Mathematics Olympiads, Caguas, Puerto Rico 2006

37.           4to CIEMAC, Integrated Mathematics, Cartago, Costa Rica 2005.

38.           ICMI 15th, How do the components and structure of a curriculum affect the content knowledge of mathematics teachers?, with A. Person, M. Alfaro, A. Portnoy , Brazil, 2005.

39.           XX SIDIM, AFAMaC: An Innovative Education Project, Mayagüez, Puerto Rico, 2005.

40.           13th convention of the kangaroo without frontiers, Borovetz, Bulgary, 2005.

41.           Head Coach of The Puerto Rico team for the VII Caribbean and Central-American Mathematical Olympiad, San Salvador, El Salvador 2005.

42.           Head Coach of The Puerto Rico team for the 46th International Mathematics Competition, Merida, Mexico, 2005.

43.           First Iberoamerican Seminar with Emphasis in Solving Problems, Cartagena, Colombia, 2005.

44.           Head Coach of The Puerto Rico team for the XX Iberoamerican Mathematics Olympiad, Cartagena, Colombia, 2005

45.           XVI Iberoamerican Conference in the Teaching of Mathematics, Integrated Math, Castellón, Spain, 2004.

46.           9th Conference on Applications of Logic in Philosophy and Mathematics Foundations, Divisibility Properties in Rings of Polynomials, Karpacz, Poland, 2004.

47.           XIX SIDIM. A Model for Mathematic Olympiads in Puerto Rico, Cayey, Puerto Rico 2004.

48.           Head Coach of The Puerto Rico team for the XIX Iberoamerican Mathematics Olympiad, Castellón, Spain, 2004

49.           ICME 10, International Congress on Mathematical Education, Copenhagen, Denmark, 2004.

50.           Head Coach of The Puerto Rico team for the VI Caribbean and Central-American Mathematical Olympiad, Managua, Nicaragua, 2004.

51.           Scientific Committee for Puerto Rico, International Science and Engineering Fair, Portland, Oregon 2004.

52.           Head Coach of The Puerto Rico team for the XVIII Iberoamerican Mathematics Olympiad, Mar del Plata, Argentina, 2003

53.           Head Coach of The Puerto Rico team for the V Caribbean and Central-American Mathematical Olympiad, San José, Costa Rica, 2003.

54.           Organizer of the Camp for Olympic Students of Mathematics, Mayaguez, Puerto Rico, 2003.

55.           Summer School in Algebra and Ordered Sets, Filtered Intersections and Algebraic Structures, Kosice, Slovak, 2003.

56.           North East Conference on Mathematics Divisibility Properties in Rigs of Polynomials, Bucaramanga, Colombia, 2003.

57.           Integrated Mathematics, 10 workshops for Math Teachers around Puerto Rico, 2003.

58.           RELME 17 A Model for Mathematic Olympiads in Puerto Rico, Santiago, Chile, 2003.

59.           36th APMM Conference, A Model for Mathematic Olympiads in Puerto Rico, plenary talk, Humacao, Puerto Rico, 2003.

60.           XVIII SIDIM. Some Properties of Rings of Polynomials, Ponce, Puerto Rico, 2003.

61.           Evaluator in the First Annual Reverse Site Visit for the Curriculum Improvement Partnership award Program (CIPA), NASA, Dallas, 2002.

62.           Head coach of the Puerto Rico team for the XVII Iberoamerican Mathematics Competition, San Salvador, El Salvador, 2002.

63.           Head coach of the Puerto Rico team for the IV Caribbean and Central-American Mathematical Olympiad, Mérida, Mexico, 2002

64.           Advisor for the graduate program of the UIS (Universidad Industrial de Santander), Bucaramanga, Colombia, 2002.

65.           Building Teacher Leadership in Mathematics Institute, Cambridge, Massachusetts, 2002.

66.           International Congress of Mathematicians 2002, Propositional Logic and Algebraic Structures, Beijing, China 2002.

67.           National Week of Science, Propositional Logic and Algebraic Structures, Bucaramanga, Colombia, 2002.

68.           Modular Arithmetic, Eugenio María de Hostos High School, Mayagüez, Puerto Rico, 2002.

69.           Ultraproducts, Logic and Ideals, University of Silesia, Poland, 2002.

70.           VI Conference on Algebra and Applications, Ultraproducts, Logic and Ideals, Zakopane, Poland, 2002.

71.           The Membership Problem for Ideals in Z[x], University of Opole, Poland, 2002.

72.           Mathematics Department Seminar, Atomic Ideals in Commutative Rings, Mayagüez, Puerto Rico, 2001.

73.           European Summer Meeting of the ASL, Ultraproducts and Algebraic Structures, Vienna, Austria 2001.

74.            Games and Applications of Abstract Algebra, Mayaguez, Puerto Rico,  2001.

75.           XVI SIDIM, "An effective Procedure for Minimal Bases of Ideals of Z[x]", Humacao, Puerto Rico, 2001.

76.           Peer Review Panel for NASA proposals, 2001.

77.           AMS-MER Workshop on Professional Master's Degrees in Teaching Mathematics, Cincinnati, 2001.

78.           Head coach of the Puerto Rico team for the XVI Iberoamerican Mathematics Competition, Montevideo, Uruguay, 2001.

79.           Organizer of the Camp for Olympic Students of Mathematics, Mayaguez, Puerto Rico, 2001.

80.           Head coach of the Puerto Rico team for the III Caribbean and Central-American Mathematical Olympiad, Barranquilla, Colombia, 2001.

81.           Advisor for the graduate program of the INTEC (Tech. Institute of Santo Domingo), Santo Domingo, Dominican Republic, 2001.

82.           Joint Mathematics Meetings, New Orleans, 2001.

83.           Editor of the Proceedings of the XV SIDIM, 2001.

84.            Using Applications and Technology to Teach Abstract Algebra, Bayamón, Puerto Rico, 2000.

85.           National Congress of Mathematics, "Ultraproduct of Sets", Sciences Institute, Bogotá, Colombia, 2000.

86.           National Congress of Mathematics, "Logic and Ideals", Andes University, Bogotá, Colombia, 2000.

87.           National Congress of Mathematics, "Games, Applications and Abstraction", Javeriana University, Bogotá, Colombia, 2000.

88.           Annual Convention of the Puertorican Association of Mathematics Professors, "Games and Abstraction", Ponce, Puerto Rico, 2000.

89.           XV SIDIM, "Ultraproduct of Ideals", Mayagüez, Puerto Rico, 2000.

90.           International Conference on Technology in Collegiate Mathematics, ICTCM, Atlanta, 2000.

91.           Mathematical Challenges of the 21 st century, Los Angeles, 2000.

92.           2000 European Summer Meeting of the Association of Symbolic Logic, Paris, 2000.

93.           U-Factorizations in Commutative Rings with Zero Divisors, conference , invited by the Math Department of the University of Iowa, Iowa City, 2000.

94.           Member of the evaluating committee for Presidential Awards for Excellence in Mathematics and Science Teaching in Puerto Rico, 2000.

95.           LUATCS’99. "Ultraproduct of Ideals in a Noetherian Ring", Johannesburg, Africa, 1999.

96.           Mathematics Department Seminar. "A Description of Ideals in Noetherian Rings". Luis F. Cáceres and George Nelson (presenter). Iowa City, Iowa, 1999.

97.           GTE/RUM: Using Technology to Bridge the Gap Between High School and College in Puerto Rico, Luis F. Cáceres, Rafael Martínez and Dan McGee (presenter). Texas, 1999.

98.            Games in Group Theory, Luis F. Cáceres and Alfonso Heras (presenter), Mayagüez, Puerto Rico 1999.

99.           American Mathematical Society, Regional Meeting. "Ideals of Rings, Limits and Logic”. Luis F. Cáceres and George Nelson (presenter). Iowa City, Iowa 1999.

100.       Mathematics Department Seminar. "Ultraproducts and Noetherian Rings". Mayagüez, Puerto Rico 1999.

101.       Fourteenth SIDIM. (Interuniversity Mathematical Research Seminar). "Sentential Logic and Ideals", San Juan, Puerto Rico 1999.

102.       Summer School, Logic, Universal Algebra and Theoretical Computer Science, Rand Afrikaans University, Johannesburg, 1999.

103.       1999 Regional Conference on Improving America’s Schools, Tampa, Florida 1999.

104.       Commutative Rings Seminar. "Valuation Rings". Iowa City, Iowa 1999.

105.       Integrating Science and Math with Fun Activities: A NASA Workshop. University of Puerto Rico, Mayagüez, PR, 1999.

106.       Constructive Learning workshop. University of Puerto Rico, Mayagüez, PR, 1999.

107.       Logic and Mathematics Foundation Seminar. "Sentential Logic and Ideals". Iowa City, Iowa 1998.

108.       Logic and Mathematics Foundation Seminar. "Ultraproducts of Ideals", Iowa City, Iowa 1998.

109.       Logic and Mathematics Foundations Seminar. "Minimal basis for Ideals of Z[x]", Iowa City, Iowa 1998

110.       Logic and Mathematics Foundations Seminar. "Ideal Theories of Z[x]", Iowa City, Iowa 1998

111.       Logic and Mathematical Reasoning. International Meeting, Mexico City, Mexico, 1997. American Mathematical Society (AMS) Meeting, Iowa City, IA, 1996.

112.       NSF Calculus Workshop: A Student Centered Approach. Ithaca, NY, 1995

113.       Seminar of Mathematica. University of Puerto Rico, Mayagüez, PR, 1995.

114.       Investigation and Creative Projects Seminar. FDK Fraternity. Mayagüez, Puerto Rico, 1995.

115.       Distrital Science Fair. Jury member of this fair. Mayagüez, PR, 1995.

116.       2nd Convention in Thought and Education, Mayagüez, PR, 1995.

117.       Calculus Reform conference. Aimes, IA, 1995.

118.       Workshop: Calculus and Pre-Calculus Teaching Reform in Puerto Rico. Guanica, Puerto Rico, 1995.

119.       Annual Convention of the Puertorican Association of Mathematics Professors. "Using the TI-85 Calculator in the Teaching of Calculus", San Juan, PR, 1995.

120.       Scientific Investigation Symposium. Jury member of this symposium. Mayagüez, Puerto Rico, 1994.

121.       Calculus Reform Conference. Tampa, FL, 1994.

122.       Ninth SIDIM. Humacao, PR, 1994.

123.       Regional Convention of the Puertorican Association of Mathematics Professors. "Using the TI-85 Graphic Calculator.", Mayagüez, PR, 1994.

124.       2nd Convention of Calculus Teaching. "Using Graphic Calculators in the Teaching of Calculus and the USA Calculus reform." Bogotá, Colombia, 1994.

125.       Math Counts Workshop for High School Teachers. Mayagüez, PR, 1994.

126.       Participant in the "Using Technology to Enhance the Teaching of Pre-Calculus and Calculus" project, NSF. Mayagüez, Puerto Rico, 1994, 1993.

127.       Seminar of Educational Methodology. Mayagüez, Puerto Rico, 1993.

128.       Eighth SIDIM. San German, Puerto Rico, 1993.

129.       Seventh SIDIM. "An Optimal Control Problem." Mayagüez, PR, 1992.

130.       Seminar: "Use of Graphic Calculators," Mayagüez, Puerto Rico, 1992.

131.       Sixth SIDIM. Bayamon, Puerto Rico, 1991.

132.       FORTRAN Seminar. San Juan, Puerto Rico, 1990.

133.       Fifth SIDIM. Arecibo, Puerto Rico, 1990.

134.       Distrital Convention of Mathematics and Statistics. Bogotá, Colombia, 1988, 1987, 1986, 1985.

135.       Seminar of The Dirac Function. Javeriana University. Bogotá, Colombia, 1988.

136.       National Convention of Mathematics. Bogotá, Colombia, 1987.

RECENT GRANTS

  1. XII Centralamerican and Caribbean Math Olympiad, Templeton Foundation ($120,000) CoPI
  2. XII Centralamerican and Caribbean Math Olympiad, Different Sources, ($150,000) CoPI
  3. AFAMaC-Mathematics 2009-2010, Department of Education of Puerto Rico, ($578,000) PI
  4. Math Competitions 2009-2010, Epsilon Fund, American Mathematical Society, ($15,000) PI
  5. AFAMaC-Mathematics 2008-2009, Department of Education of Puerto Rico, ($550,000) PI
  6. Math Competitions 2008, Epsilon Fund, American Mathematical Society, ($7,500) PI
  7. Math Competitions 2008, different sources ($23,000) PI
  8. AFAMaC: Alianza para el Fortalecimiento del Aprendizaje de las Ciencias y las Matemáticas, 2007-2008, Department of Education of Puerto Rico. ($2,000,000) PI
  9. Math Competitions 2007, different sources ($25,000) PI
  10. REU-PREMUR:  Puerto Rico Experiences in Mathematics and Undergraduate Research, National Security Agency, 2007. ($96,000) PI
  11. Yauco, Maestros de excelencia, 2007. ($96,000)PI
  12. AFAMaC: Alianza para el Fortalecimiento del Aprendizaje de las Ciencias y las Matemáticas, 2006, Department of Education of Puerto Rico. ($500,000) PI
  13. Yauco, Maestros de excelencia, summer 2006. ($130,000)PI
  14. AFAMaC: Alianza para el Fortalecimiento del Aprendizaje de las Ciencias y las Matemáticas, 2005-2006, Department of Education of Puerto Rico. ($2,400,000) PI
  15. Math Competitions 2006, different sources ($15,000) PI
  16. Math Competitions 2006, Epsilon Fund, American Mathematical Society, ($7,000) PI
  17. Math Competitions 2006, UPR ($28,000) CoPI
  18. HACUMA: Math Competitions in Puerto Rico 2005, Department of Education of Puerto Rico, 2005 ($57,000)PI
  19. Yauco, Maestros de excelencia, summer 2005. ($65,000)PI
  20. IFEM, Instituto Para el Fortalecimiento de la Enseñanza de las Matemáticas, Department of Education of Puerto Rico, 2005. ($93,000) PI
  21. REU-PREMUR:  Puerto Rico Experiences in Mathematics and Undergraduate Research, National Security Agency, 2005. ($75,000) PI
  22. AFAMaC: Alianza para el Fortalecimiento del Aprendizaje de las Ciencias y las Matemáticas, 2004-2005, Department of Education of Puerto Rico. ($1,974,000) PI
  23. REMA: Mathematical Re-Conceptions, 2004, Department of Education of Puerto Rico. ($530,000) CoPI
  24. HACUMA: Math Competitions in Puerto Rico 2003-2004, Department of Education of Puerto Rico, Mathematics Program 2004. ($113,000) PI
  25. HACUMA: Math Competitions in Puerto Rico 2003-2004, Department of Education of Puerto Rico, 2003-2004. ($40,000) PI
  26. IFEM, Instituto Para el Fortalecimiento de la Enseñanza de las Matemáticas, Department of Education of Puerto Rico, 2003-2004. ($112,000) PI
  27. Summer Camp for Las Marías and Mayagüez students, from WIA program, summer 2003. ($5,000) PI
  28. Grant for undergraduate research, from Alliance for Minority Participation, spring and summer 2003.
  29. IFEM, Instituto Para el Fortalecimiento de la Enseñanza de las Matemáticas, Department of Education of Puerto Rico, 2002. ($92,000) PI
  30. Math Competitions in Puerto Rico 2002-2003, Department of Education of Puerto Rico, 2002. ($25,000) PI
  31. Grant for the participation in the Building Teacher Leadership in Mathematics, Cambridge, 2002, granted by NSF.
  32. Grant for the participation in the IV Conference on Algebra and its Applications, Zakopane, Poland, 2002, granted by the organizing committee.
  33. Grant for the participation in the AMS-MER workshop on Professional Master's Degrees in Teaching Mathematics, granted by NSF, 2001.
  34. Grant for the participation in the 2001 European Summer Meeting of the Association of Symbolic Logic (Vienna), granted by ASL, 2001.
  35. An Effective Procedure for Minimal Bases of Ideals in Z[x], Research and Development Center, 2001,
  36. Math Competitions in Puerto Rico 2001-2002, Department of Education of Puerto Rico, 2001.
  37. Cooperative Learning for Mathematics Foundations and Advanced Calculus, Alliance for Minority Participation, 2001.
  38. Grant for undergraduate research, from Alliance for Minority Participation, 2001.
  39. Using Web-based technology to improve study skills, retention and success in Calculus courses, US Department of Education, CO-PI, 2000.
  40. Grant for undergraduate research, from Alliance for Minority Participation, 2000.
  41. Grant for the Participation in the Mathematical Challenges of the 21st century (California), granted by NSF, 2000.
  42. Grant for the participation in the 2000 European Summer Meeting of the Association of Symbolic Logic (Paris), granted by NSF, 2000.
  43. Grant for the project “Introduction to Algebraic Structures", granted by PR- Alliance for Minority Participation, Curriculum Innovation Center, 1999.
  44. Grant for the XV SIDIM, granted by the University of Puerto Rico and private industries 1999.
  45. Grant for the participation in the First Southern African Summer School and Workshop on Logic, Universal Algebra and Theoretical Computer Science, granted by "Rand Afrikaans University", Johannesburg, South Africa, 1999.

GRADUATE RESEARCH:

1.      Virgilio Morales, Propositional Theories  and Algebraic Structures, MS Thesis, 2002.

2.      Joel Meléndez, Ultraproducts and Algebraic Structures, MS Thesis, 2003.

3.      José Vélez, Properties in Rings of Polynomials, MS Thesis, July 2005.

4.      Wanda Ortíz, Propositional Theories, Lattices and Boolean Algebras, MS Project, December 2006.

UNDERGRADUATE RESEARCH

  1. Filtered Products (Jonathan Ho Fung)

Presentations: XXV SIDIM, Mayagüez, 2005. (poster)

  1. The Membership Problem for Ideals of Polynomials over the Integers Z[x] (Carlos Arreche), 2004. 3th Place in The International Science and Engineering Fair, Portland, 2004 Karl  Menger award of the AMS

Publication: Rose-Hulman mathematics Jornal, Vol 6. Issue 2, 2005

  1. Gröbner Basis and Ideals of Z[x] (Reyes Ortiz), 2000-2001.

Presentations: Joint Mathematics Meetings, New Orleans, 2001. (poster)    
XVI SIDIM, Humacao, 2001. (poster)

  1. Ultraproducts and Algebraic Structures (Edoardo Carta), 2000.

Presentations: Joint Mathematics Meetings, New Orleans, 2001. (poster)
Junior Technical Meeting, Ponce, 2001. (oral)
XVI SIDIM, Humacao, 2001. (poster)
NCUR, Lexington, 2001. (oral)

 

PROFESSIONAL ASSOCIATIONS

  1. Member of the American Mathematical Society.
  2. Member of the Association for Symbolic Logic.
  3. Member of the Puertorrican Association of Mathematics Professors.