# Jin Hyung To

## Biography

I am a Lecturer of Mathematics. I am specialized in Algebraic Geometry. Algebraic Geometry occupies a central place in modern mathematics and has multiple conceptual connections with such diverse fields as complex analysis, topology, and number theory. I serve as a committee of NMC Math Competition for secondary education. NMC is National Math Competition which is one of Math Olympiads. I have 20 years of College level Mathematics teaching experience from Calculus to advanced Math Courses such as Linear Algebra, Abstract Algebra, Real and Complex Analysis, Geometry. I professionally teach all the courses of Algebra, Analysis, Geometry, and Topology.

I have four kids and my wife is also a mathematician. Her speciality is Fractal Geometry in analysis. I go to church every Sunday with my family.

I am a professional Latex user.

## Research Interests

- Algebraic Geometry and Arithmetic Geometry
- Tate conjecture and related problems

## Research Description

Developing new Cohomology theory in Arithmetic Geometry, Describing the structure of the closed subvarieties of a smooth irreducible (over the algebraic closure of *k*, so called geometrically irreducible) projective variety over a finite field *k* = **F**_{q} , Curves in the projective space **P**^{3} and intersection of surfaces, Describing the moduli spaces of vector bundles and maps over algebraic curves

## Education

- Ph.D. Mathematics, University of Illinois at Urbana-Champaign

## Distinctions / Awards

- Outstanding contribution to 2016 NMC

## Courses

- Applied Complex Variables, Math 446
- Complex Variables, Math 448
- Abstract Linear Algebra, Math 416