I am an assistant professor in University of Texas at San Antonio Mathematics and Computer Science Departments.
Reasonable person policy I like CMU SCS reasonable person policy:
Everyone will be reasonable
Everyone expects everyone else to be reasonable
No one is special
Do not be offended if someone suggests you are not being reasonable
Teaching Interests My goal is to empower students with modern mathematical and computational skills, and cultivate algorithmic thinking.
So far I'm involved in designing the following courses:
(1) a probability theory course delivered in algorithmic context,
(2) an undergrad level introduction to optimization,
(3) two course abstract algebra series from a computational point of view (still under development),
(4) a course on algorithmic foundations of data science (currently under development), course content:
Singular value decomposition-PCA, concentration of measure-randomized dimensionality reduction, Markov chains-sampling, algorithms for big data, numerical optimization, compressed sensing.
Seminar With Grigoris Paouris (TAMU) and Petros Valettas (Mizzou) we are running a student friendly research seminar on Geometry, Probability, and Computing. Details about the seminar can be found here .
Mentoring I very much enjoy working with undergraduate researchers. If you are a UTSA undergrad in Math, CS, or ECE, and find the topics of the seminar above interesting, feel free to come talk to me. If you are UTSA grad student in CS or Math and interested in theory of computing, computational geometry, optimization, computational algebra or randomized algorithms feel free to come talk to me.
Research Interests I am interested in real algebraic geometry, convex geometry, high dimensional probability, randomized numerical algorithms,
optimization, and theory of computing. Combinatorics is natural and beatiful to me, so I dabble into it time to time.
My publications are divided into broad categories below.