Dr. Robert Williams joined Rose-Hulman in the fall of 2017 bringing a love of teaching and experience teaching engineering students. His interests include algebraic geometry, algebraic methods in mathematical biology and algebraic statistics. His recent work included an exploration of the way in which the brain encodes environmental stimuli through neural patterns, which places special significance on convex structures. His doctoral dissertation topic was Restrictions on Galois groups of Schubert problems.
Academic Degrees
Ph.D. in Mathematics, Texas A&M University, 2017
M.S. in Mathematics, Sam Houston State University, 2012
B.S. in Mathematics, University of Dallas, 2010
Publications & Presentations
Restrictions on Galois groups of Schubert problems (2017), Minkowski sums and Hadamard products of algebraic varieties (joint with Netanel Friedenberg and Alessandro Oneto; 2017) Exact tests for stochastic block models (joint with Vishesh Karwa, Debdeep Pati, Sonja Petrovic, Liam Solus, Nikita Alexeev, Mateja Raic, Dane Wilburne, and Bowei Yan (2016), Strongly maximal intersection-complete neural codes on grids are convex (2016).
Research Experiences
Algebraic geometry, algebraic methods in mathematical biology, and algebraic statistics
Teaching Interests
Inquiry-based learning techniques