MATH 189 Advanced Problem Solving: Capstone

MATH 17C Calculus for Biological Sciences

Here are other classes that I particularly enjoy teaching because

they are more directly related with my research interests:

MATH 114 Convex Geometry

MATH 115A *"Theory of Numbers"* .

MATH 115B *"Theory of Numbers"* .

MATH 145* Combinatorics *

MATH 146 *"Algebraic Combinatorics''*.

MATH 160 * Mathematics for Data Mining and Decision Making *

*
MATH 165 "Math and Computers"
. *

*
MATH 167 Applied Linear Algebra *

*
MATH 168 "Mathematical Optimization''. *

*
MATH 250 "Algebra" . *

*
MATH 245 "Enumerative
Combinatorics" . *

*
MATH 246 Algebraic & Geometric Combinatorics *

*
Every two years or so I try to teach a graduate class (as Topics class
MATH 280) on my current research interests.
Here is the last two I taught: *

*
MATH 280 "Algebraic and Geometric
Methods in Optimization''. *

*
MATH 280 Geometric and Topological Tools in Game Theory and Optimization
*

*
Sometimes when I teach a class students feel artistic and attempt to portray me.
*

*
*

- I love to work with students in research and applied projects. I always
have a weekly research seminar in applied & computational math projects suitable
for undergrads. Contact me if you are interested. I have been undergraduate research coordinator several times.
- I always try to convince students into becoming math majors or minors.
For this reason, I have taught

Freshman Seminars, math club advisor, and taught for COSMOS (a program for talented high school students in Californ ia). - I am also currently faculty advisor for CALESS (student club for Chicanos and la
tinos in Engineering and Science). I support

MCNAIR, MURRPS (programs to facilitate the participation of minorities in the mathematical and physical sciences).

- Ruriko Yoshida 2004 (Associate Prof. Statistics Univ. Kentucky)
- Maya Ahmed 2004 (Software development)
- Tyrrell McAllister 2006 (Assistant Prof. Univ. of Wyoming)
- Susan Margulies 2008 (Assistant Prof. U.S. Naval Academy)
- David Haws 2009 (Technical Staff IBM Watson Research Center)
- Edward Kim 2010 (Assistant Prof. Univ. of Wisconsin, Lacrosse)
- Mohamed Omar 2011 (Assistant Prof., Harvey Mudd College)
- Yvonne Kemper 2013 (Postdoctoral researcher at National Institute of Standards and Technology, Washington DC).
- Jacob Miller 2016 (Data Scientists at All State Insurance, Inc.)
- Reuben La Haye 2016 (Staff Scientist at Google Inc.)
- Brandon E. Dutra 2016, co-supervised with Prof. Koeppe, (Staff Scientist Google, Inc.)

At UC Davis alone he has supervised for the work of many undergraduates (those that went to graduate school marked with schools names, * means wrote a paper or a senior thesis):

Amber Johnston, Cynthia Miranda* (CSU Long Beach), Marisa Garcia, Natasha Slepoy* (Columbia Univ), Jon Brooks, Jeremiah Tauzer* (Purdue U.), Peter Huggins* (UC Berkeley), David Haws* (UC Davis), Austin Shapiro* (Univ. Michigan), Michael Zhang, Esteban Pauli* (U. Illinois Urbana), Carol Hshi, David Karapetyan* (USC), Katherine Stalder* (Stanford), Creed Erickson* (UC Davis), Luis de la Torre* (Northwestern U), Tia Baker, Servando Narvaez * (UC Berkeley), Allison O'Hair* (MIT), Matthew Vicksell, Karla Lanzas* (San Francisco State), Rex Cheung* (UC Davis), Nancy Tafolla* (San Diego U), Courtney Dostie, Katherine Burggraf, Brandon Dutra* (UC Davis), Timothy Ingram* (Stanford), Samantha Cappozo, Jianqiu Wu* (Rice U.), Stanislav Moreinis* (Stanford), Gregory Pinto, Ying Shi* (UC Berkeley), Longphi Nguyen* (UC Davis), Yuan Yuan Shen* (Stanford), Laila Rizvi*, Connor Duthie*, Victor Fuentes*(U. Michigan), Sachin Salgaonkar*, Gabrielle Chwalik*, Jacqueline Rodriguez (UCLA), Hanna Polterock, Melody Molander (U. Oregon), Trevor Chan, Emily Macway, Brendon Verissimo, Corina Putinar, Sam Asher, Miguel Gil, Carmen Galaz, Leonardo Ferrer (UC Davis), Alberto Flores.

Here are some papers in which undergraduates student contributed as co-authors.

- (with D.Haws, R. Hemmecke, P. Huggins, B. Sturmfels, R. Yoshida) "Short rational functions for toric algebra and its applications" {\em Journal of Symbolic Computation}, 38, 2004, 959--973.
- (with D.Haws, R. Hemmecke, P. Huggins, R. Yoshida) "Three kinds of Integer Programming Algorithms based on Barvinok's rational functions" in proceedings {\em Tenth International Conference in Integer Programming and Combinatorial Optimization, New York NY, June 2004} Lecture Notes in Computer Science, Vol 3064, 244--255.
- (with D. Haws, J. Lee and A. O'Hair), Computation in Multicriteria Matroid Optimization, {\em ACM Journal of Experimental Algorithmics}, volume 14, pages 8:1.8--8:1.33, 2010.
- (with R. Hemmecke, J. Tauzer, and R. Yoshida) ``Effective lattice point counting in rational convex polytopes.'' Journal of Symbolic Computation, vol. 38 no. 4 (2004), 1273--1302. \par
- (with K. Burggraff and M. Omar), ``Triangulations and volumes of permutation polytopes'', to appear in Fields Institute Proceedings
- (with B. Dutra, M. Koeppe, S. Moreinis, G. Pinto, J. Wu) ``Software for Exact Integration of Polynomials over Polyhedra'', to appear Computational Geometry Theory and Applications.