Sanjay Kumar Email & Phone Number

Des Plaines, IL, US

Santa Barbara, California, United States

Research: Worked in the area of quantum topology, quantum computing, quantum error correction, quantum algebra, hyperbolic geometry, representation theory, and category theory.Mentorship: Led undergraduate reading courses in various topics such as network theory, quantum cryptography, low-dimensional topology, quantum topology, and financial mathematics..

Santa Barbara, California, United States

Research: Worked in the area of quantum topology, knot theory, and graph theory by developing graph theoretic methods for computationally-fast calculations of quantum knot invariants.Mentorship: Advised two undergraduate students in mathematics research. The students were accepted and presented their results at the prestigious Young Mathematicians.

Worked on a project in which we determined the key indicators for the deoxygenation of the ocean as well as constructed a forecasting model for predicting future oxygen levels.

Worked on a project contrasting classical clustering techniques with quantum-inspired clustering using the Schrödinger equation and quantum clustering via the D-Wave quantum annealer to evaluate efficiency and accuracy on various datasets.

East Lansing, Michigan, United States

Research: Worked in the area of quantum topology, low-dimensional topology, and hyperbolic geometry. Teaching: Instructor of record and teaching assistant for numerous undergraduate courses, lead teaching assistant for the mathematics learning center, study lab leader for CHAMP, and co-supervisor for a large lecture course.

Iowa City, Iowa, United States

Research: Worked in the area of quantum topology and quantum algebra by exploring a tangle functor associated to a particular quantum group.

Iowa City, Iowa, United States

Teaching: Worked as an undergraduate teaching assistant in the mathematics lab tutoring in a variety of courses such as algebra, linear algebra, calculus, differential equations, numerical analysis, real analysis, abstract algebra,and topology.

Allendale, Michigan, United States

Research: Worked in the area of dynamical systems and hyperbolic geometry by investigating periodic orbits of outer billiards in the hyperbolic plane.

Iowa City, Iowa, United States

Research: Worked in the area of X-ray astronomy by analyzing data collected by the Chandra X-ray Observatory.

Doctor Of Philosophy - Phd, Mathematics

Degree: PhD in Mathematics Dissertation: Asymptotics of the Turaev-Viro Invariants and Their Connections in Low-Dimensional Topology

Bachelor Of Science - Bs, Mathematics

Degree: BS in Mathematics with Minor in Physics (Honors and Distinction)