- Pasadena City College, 1973-1974 (no degree).
- University of California, Santa Cruz: BA in Mathematics, 1978.
- University of California, Davis: M.A.T. in Mathematics (with a California High School Teaching Credential) 1980.
- University of California, Los Angeles: Ph.D. in Mathematics, 1984. (Advisor: Rick Durrett)

- California Community Teaching Fellow, University of California, Davis, 1978-1980. (Winters Elementary School. Most fun years as a teacher!)
- Student Teacher, Sacramento High School, 1978-1980.

Teaching Assistant, University of California, Los Angeles, 1980-1984. - Bantrell Research Fellow, California Institute of Technology, 1984-1986.
- Assistant Professor, Purdue University, 1986-1989.
- NSF Postdoctoral Fellow, University of Illinois, Urbana, 1986-1987.(Advisor: Don Burkholder)
- Associate Professor, Purdue University, 1989-1992.

Professor, Purdue University, 1992-present - Interim Head, Department of Mathematics, Purdue University, July 2005-December 2005
- Head, Department of Mathematics, Purdue University, 2007--2011

- 1984-1986: Bantrell Research Fellow, California Institute of Technology.
- 1986-1994: NSF Postdoctoral Fellow, University of Illinois, Urbana and Purdue University.
- 1989-1994: Presidential Young Investigator.
- 2004: Elected Fellow of the Institute of Mathematical Statistics (IMS)
- 2004: Blackwell-Tapia Prize in Mathematics
- 2009: Outstanding Latino Award, Purdue Latino Faculty and
Staff Association

- 2013: Elected Fellow of the American Mathematical Society (AMS)
- 2017: Inaugural fellow Fellow, Association for Women in Mathematics (AWM) (
- 2017: Martin Luther King Jr Dreamer Award, Purdue

- 2022: American Mathematical Society (AMS) Ward for Distinguished Public Service

- 2023: Elected Fellow of Society for Industrial and Applied Mathematics (SIAM)

- American Mathematical Society (AMS)
- Society for Advancement of Chicanos and Native Americans in Sciences (SACNAS)
- Institute of Mathematical Statistics (IMS)
- Society for Industrial and Applied Mathematics (SIAM)
- European Mathematical Society (EMS)
- Association for Women in Mathematics (AWM)
- National Association of Mathematicians (NAM)

- Associate Editor, Annals of Probability, 1991-1996
- Probability and Statistics Editor, Transactions of the AMS,
1996-200

- AMS Committee to select hour speakers for regional meetings, 1991-1992, 2020-2022
- Chairman AMS Central Section Program Committee, 1992
- Organizer, Special Session on "Martingales and Applications to Analysis," March 1993
- 2
^{nd}International Symposium in Probability and Applications, Bloomington, IN. - National Research Council Evaluation Panel, Ford Foundation Predoctoral Fellowship, 1995-1996
- Co-Organizer, Special Session on "Stochastic Processes", joint, November 1995
- American Math Society and Sociedad Matematica Mexicana, Guanajuato Mexico
- AMS Task Force on Participation of Underrepresented Minorities, 1995
- Organizer Committee for special year (1997-1998) in Stochastic Analysis, 1997-1998
- Mathematical Sciences Research Institute, Berkeley CA
- The United States National Committee on Mathematics, 1997-2000
- Mathematical Sciences Research Institute (MSRI) Scientific Advisory Council, 1998-2002
- AMS Committee on Committees, 2002-2004
- Selection Committee for Hour Speakers, AMS-Mexican Math Society Meeting, 2004
- Co-chair, Selection Committee for Blackwell-Tapia Prize, 2006-2008.
- Advisory Panel for Collaboration Grants in probability,
statistics, harmonic analysis and functional analysis, Simon
Foundation

- AMS Book Prize Committee, 2003-2004
- AMS Fellows Committee, 2019-2022
- AWM Fellows Committee, 2018-2021
- AMS Simons Travel Grant for young investigators, 2015-2018

- Probability Surveys, 2004-2005
- Editorial Board of Probability and Mathematical Statistics,
2006-Present

- IPAM Board of Trustees, 2005-2008
- AMS Leroy P. Steele Prizes Committee, 2005-2008
- Scientific Program Committee, 32nd Conference on Stochastic Processes and Their Applications, Urbana, Champaign, August 6-10, 2007.
- Scientific Program Committee, Probability and Analysis
Conference, Bedlewo, Poland, 2015.

- Organizing Committee, Latinos in the Mathematical Sciences
Conference, IPAM 2015

- Editorial Board, Revista Matemática Iberoamericana, 2007-Present
- Associate Editor for Burkholder Memorial Volume, Annals of
Probability, 2013-2017

- Editorial Board, Latin American Journal of Probability and Mathematical Statistics, 2016-present
- Editorial Board, Potential Analysis, 2016-present
- Editorial Board, Latin American Journal of Probability and
Mathematical Statistics, 2015-present

- Robert Smits; "Conditioned Brownian Motion, Spectral Gaps and Rates to Equilibrium for Diffusions," May 1996
- Arthur J. Lindeman : "Martingales, the Beurling-Ahlfors
Transform, and Lower Bounds for Ground State Eigenfunctions,"
May 1997

- Pedro Henandez-Mendez: "Sharp inequalities for Dirichlet heat kernels for the Laplacian and the Fractional Laplacian with applications to probability," May 2001.
- Dahae You: "Sharp Inequalities for Schrodinger operators and Laws of the Iterated Logarithm," May 2002
- Prabhu Janakiraman: "Weak-Type Estimates for Singular Integrals and Maximal Operators," May 2004
- Ambica Rajagopal: "Continuity Properties of symmetric Stable Processes," May 2006
- Erkan Nane: "Iterated Brownian motion: Lifetime Asymptotics and Isoperimetric Inequalities," May 2006
- Bartlomeij Siudeja:
"Properties of heat kernels," May 2008

- Sarah N. Bryant:
"Path
and spectral properties of certain Levy processes," August 2009.

- Luis Acuna Valverde (Download papers here)
- Michael Perlmutter
(Download
papers here)

- Daesung Kim Doob Instructor, University of Illinois, Urbana-Chapmaign.