Prof. Jesús A. De Loera

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Curriculum Vitae (with publication list)

Scientific Highlights

Short biography: Jesús De Loera was born and raised in Mexico City. He received his Bachelor of Science degree in Mathematics from the National University of Mexico in 1989, a M.A. in Mathematics from Western Michigan in 1990, and a Ph.D in Applied Mathematics from Cornell University in 1995. He arrived at UC Davis in 1999, where he is now a professor of Mathematics as well as a member of the Graduate groups in Computer Science and Applied Mathematics. He has held visiting positions at the University of Minnesota, the Swiss Federal Technology Institute (ETH Zürich), the Mathematical Science Institute at Berkeley (MSRI), Universität Magdeburg (Germany), the Institute for Pure and Applied Mathematics at UCLA (IPAM), the Newton Institute of Cambridge Univ. (UK), and the Technische Universität München. He has taught courses at universities in the USA, Mexico, Germany and Switzerland.

He is an expert in the field of Discrete Mathematics, but his research encompasses a diverse set of topics including his work in (pure) Convex Geometry, Algebraic Combinatorics, and Combinatorial Commutative Algebra, as well as his (applied) work in Combinatorial Optimization and Algorithms. In addition to more than 80 published research papers, he has co-written two graduate level textbooks: `` Triangulations: Structures for Algorithms and Applications'' (Springer, with J. Rambau and F. Santos) and `` Algebraic and Geometric Ideas in the Theory of Discrete Optimization'' (SIAM, with R. Hemmecke and M. Koeppe). The first being a treatise about combinatorics of triangulations of polytopes and the second an introduction to the state of the art in algebraic-geometric algorithms in optimization.

In general, he enjoys rethinking Mathematics in terms of algorithmic questions and understanding how computers can be ``taught'' to discover or prove theorems (e.g., automatically produce rational generating functions from geometric counting questions). He approaches difficult computational problems using tools from Algebra, Combinatorics, and Convex Geometry, and Topology. He believes in the exciting future of interdisciplinary work. Some of his favorite mathematical objects are polytopes, which are multidimensional generalizations of polygons and cubes (some pretty ones seen in the pictures above).

His research has been recognized in several ways. He was awarded an Alexander von Humboldt Fellowship in 2004, the 2010 INFORMS computer society prize, a 2013 John von Neumann professorship at the Technical University of Munich and he was elected as a fellow of the American Mathematical Society in 2014. He has been plenary or semi-plenary speaker at many major scientific conferences including SIAM annual meeting, MAA Mathfest, AMS regional meetings, COMBINATEXAS, and CANADAM. He has presented more than 40 invited scientific colloquia in well-known academic institutions such as MIT, Caltech, Oxford Univ., UC Berkeley, UCLA, Cambridge Univ., MAA Carriage House, Claremont-McKenna College, IBM, and Courant Institute NYU. He has also given more than 50 seminars at academic departments around the world. He has received many national and international grants to support his work, including from NSF, NSA, and IBM.

He is an associate editor of the journals ``SIAM Journal of Discrete Mathematics'', ``SIAM journal of Applied Algebra and Geometry'', ``Boletin de la Sociedad Matematica Mexicana'' and a former editor of ``Discrete Optimization''. He has also served the mathematics community as member of in many committees and organizer of many events, with an emphasis in promoting mathematics for underserved communities. E.g, recently he served in the AMS committee of Education, as well as Vice-Chair of the UC Davis Mathematics Department and Faculty Assistant to the Dean of Mathematical and Physical Sciences in undergraduate matters. He was elected to the AMS executive council in 2015 and has coorganized over 30 workshops and events, from many small regional meetings (e.g. AMS meetings) to two large semester-long MSRI programs ``Discrete and Computational Geometry'' (2003) and ``Geometric and Topological Combinatorics (2017).

For his dedication to outstanding mentoring and teaching he received the 2003 UC Davis Chancellor's fellow award, the 2006 UC Davis award for diversity, the 2007 Award for excellence in Service to Graduate students by the UC Davis graduate student association and the 2013 Chancellor's award for mentoring undergraduate research and, in 2017, the Mathematical Association of America Golden Section Award. He has successfully supervised eleven Ph.D students, eight postdoctoral scholars, and over 50 undergraduates research projects. He is very proud of all the successful students who have shared mathematics with him over the years.