Higher education

UC San Diego, Ph.D. in Mathematics, 2011.
Thesis: "The Bessel-Plancherel theorem and applications."
Advisor: Wee Teck Gan and Nolan Wallach.

UC San Diego, M.A. in Pure Mathematics, 2008.

University of Guanajuato, B.S. in Mathematics, 2006.
Thesis: "Applications of Lie groups to differential equations in physics and geometry," (in Spanish) pdf, dvi.
Advisor: Adolfo Sánchez Valenzuela.

Recent publications

"Theta lifting of generalized Whittaker models associated to nilpotent orbits," with Chen-Bo Zhu, in preparation.

"The Bessel-Plancherel theorem for Lie groups of tube type," in preparation.

"Bessel models for general admissible induced representations: the noncompact stabilizer case," in preparation.

"A conjecture of Sakellaridis-Venkatesh," with Wee Teck Gan, submitted, pdf.

"Bessel models for general admissible induced representations: the compact stabilizer case," with Nolan Wallach, Selecta Math. (N.S.) 18 (2012), no. 1, 1-26, pdf.

"Determinant expansions of signed matrices and of certain jacobians," with William Helton and Igor Klep:, SIAM J. Matrix Anal. Appl. 31 (2010), no. 2, 732-754, pdf.

Talks at international conferences and workshops

"Invariant linear functionals and degenerate Whittaker models," Program on branching laws, IMS, Singapore, March 2012.

"On a conjecture of Sakellaridis-Venkatesh," International colloquium on automorphic representations and L-functions, TIFR, Mumbai, January 2012. (In sustitution of Wee Teck Gan.)

"The Bessel-Plancherel theorem and applications," Representation Theory and Quantization Workshop, Fields Institute, Toronto, Canada, February 2011.

Research experience

Research Fellow, National University of Singapore, 2011-present.
Supervisor: Chen-Bo Zhu.

Graduate Research Assistant, UCSD, 2008-2011.
Supervisor:Nolan Wallach.

Graduate Research Assistant, UCSD, Summer 2009.
Supervisor: Wee Teck Gan.

Non-Commutative Algebra Summer Group Summer 2006, 2007, 2008.
Supervisor: William Helton.

Recent teaching experience

Instructor, MA4262 Measure and integration, NUS, Semester I 2012-2013.

Instructor, MA6292/MA6293 Topics in mathematics II, invariant differential equations, NUS, Semester II 2011-2012.

Teaching Assistant, Math 10B, Calculus, UC San Diego, Winter 2011.

Teaching Assistant, Math 20C, Calculus for science and engineering, UC San Diego, Fall 2010.

Honors and awards

Graduate Research Assistant Fellowship, UC San Diego, 2008--2011.

Conacyt-UCMexus Fellowship, 2006-2011.

SEP Scholarship for academic excelence, 2006-2008.

TELMEX Foundation Scholarship, 2000-2005.

CONACYT-CIMAT Scholarship, 2000-2005.

"National Youth Prize", maximum public recognition that the Government of the Republic grants to young Mexican, Mexico Goverment, 2001.

Bronze Medal, International Math Olympiad (IMO), Daejon, Republic of Korea, 2000.