TEACHING
Department of Mathematics, University of Oklahoma, Norman

Fall 2024:

MATH 4163 (Introduction to Partial Differential Equations)

Spring 2024:

MATH 4193/5103 (Introductory Mathematical Modeling / Mathematical Models)

Fall 2023:

MATH 5403 (Calculus of Variations)

Fall 2022:

MATH 3423 (Physical Mathematics II)

Spring 2022:

MATH 4193/5103 (Introductory Mathematical Modeling / Mathematical Models)

Fall 2021:

MATH 4073 (Numerical Analysis I)

Spring 2021:

MATH 4163 (Introduction to Partial Differential Equations)

Fall 2020:

MATH 2433 (Calculus and Analytic Geometry III)

Spring 2020:

Fall 2019:

Spring 2019:

Spring 2018:

Fall 2017:

MATH 1914 (Differential and Interal Calculus I)

Spring 2017:

Fall 2016:

Spring 2016:

MATH 2934 (Honors Differential and Integral Calculus III)

MATH 4103 (Introduction to Functions of a Complex Variable)

Fall 2015:

Spring 2015:

MATH 2423 (Calculus and Analytic Geometry II)

Fall 2014:

Summer 2014:

MATH 2934
(Differential and Integral Calculus III)

Spring 2014:

Fall 2013:

Summer 2013:

MATH 2443
(Calculus and Analytic Geometry IV)

Spring 2013:

MATH 4193/5103
(Introductory Mathematical Modeling / Mathematical Models)

MATH 2443
(Calculus and Analytic Geometry IV)

Fall 2012:

Summer 2012:

MATH 2443
(Calculus and Analytic Geometry IV)

Spring 2012:

MATH 3413 (Physical Mathematics I)

MATH 4103
(Introduction to Functions of a Complex Variable)

Spring 2011:

Fall 2010:

Spring 2010:

Fall 2009:

Spring 2009:

Fall 2008:

Spring 2008:

Fall 2007:

Spring 2007:

Fall 2006:

Spring 2006:

Fall 2005:
Department of Mathematics, University of Michigan, Ann Arbor

Winter 2005:

MATH 526 (STAT 526) (Discrete Stochastic Processes)

Fall 2004:

MATH 525 (STAT 525)
(Probability Theory)

MATH 425 (STAT 425)
(Introduction to Probability)

Summer 2004:

MATH 425 (STAT 425)
(Introduction to Probability)

Fall 2003:

MATH 156
(Applied Honors Calculus II)

Spring 2003:

MATH 425 (STAT 425)
(Introduction to Probability)

Winter 2003:

MATH 255
(Applied Honors Calculus III)

MATH 115 (Calculus I)

Fall 2002:
Department of Physics, University of Texas, Austin

Fall 1997  Spring 2002:

PS 303 (Introduction to Physical Science I)

Spring 1996  Summer 1997:

PHY 103M (Laboratory for Engineering Students)
Department of Physics, University of Sofia, Bulgaria

Spring 1991  Spring 1995:

Partial Differential Equations for Physicists

Fall 1994:

Fall 1991  Spring 1993:

Mathematical Methods of Physics
(vector and tensor calculus, ODEs, complex analysis)

Fall 1989  Fall 1990:

Mechanics and Molecular Physics
School for Electronic Systems, Technical University, Sofia, Bulgaria
RESEARCH WITH UNDERGRADUATE STUDENTS

In Fall 2022, Nathan Leiphart took with me Honors Research
on basic concepts of differential geometry;
his writeup is
here.

In Spring 2019, Finn Bender took with me Independent Study
on Markov Chain Monte Carlo methods;
his writeup is
here.

In Fall 2016, Armand Ghosh took with me a Honors Research class
(MATH 3980) on mathematical analysis of a population model;
his writeup is
here.

In Fall 2014Spring 2015,
Hunter Ash worked with me on his Physics Capstone Project
and his Honors Thesis.
Here is a
link
to his Honors Thesis, on the geometry of the Kepler manifold
as a MarsdenWeinstein reduced space. Presently Hunter
is an M.S. student in Mathematical and Computational Finance at Stanford University.

In Summer 2011, Karl Schaettle worked with me
on combinatorial modeling of polymer molecules,
supported by the NSF grant DMS0807658.
His report is
here.
Presently Karl is a Ph.D. student at the Department of Chemical
and Biomolecular Engineering at the University of California at
Berkeley.

In Fall 2010Spring 2011, Matt Whiteway
worked with me on a Physics Capstone Project
on perturbation methods for the FermiPastaUlam problem;
his report is linked
here.
He earned a Ph.D. in Applied Mathematics from the University of
Maryland, using statistics and machine learning techniques to analyze
large neural and behavioral datasets.
Presently he is a Postdoctoral Researcher at Columbia University.

In Fall 2007, Joe Mitchell worked with me
at the Math Department of the University of Oklahoma
on a problem related to computing the temperature distribution
in a moving medium with a spatially uniform velocity.
Our paper has been accepted for publication
in European Journal of Physics;
here is a link to the preprint.
Joe was supported by the NSF grant DMS0603721,
and the Honors Research Assistant Program grant from the University of Oklahoma.
Joe earned a Ph.D. in Physics from the University of Maryland at
College Park, and presently works at Noetic Games,
a startup company in Colorado.

In Summer 2006, Joe Mitchell worked with me
at the Math Department of the University of Oklahoma
on a problem related to stability of the inverted pendulum
with vertically oscillating pivot;
here is a link
to his paper.
Joe was supported by the NSF grant DMS0603721.

In Summer 2006, Will Dabney worked with me on properties of collisions of
particles in a ring and in triangular billiards;
here is a link to his
writeup. Will was supported by the NSF grant DMS0603721.
Will earned a Ph.D. in Computer Science from University of
Massachusetts at Amherst, worked as a Machine Learning Scientist for Amazon Echo,
and presently works as a Senior Staff Research Scientist at Google DeepMind,
London, UK.

In Summer 2005, Karl Weintraub worked with me
at the Math Department of the University of Michigan
on a problem related to certain fractal properties
of sets related to critical circle maps;
here is a link
to his paper.
Karl was supported by the NSF grant DMS0405903.
Having graduated from Michigan, Karl went on to
graduate school at the Department of Mathematics
of the University of Texas at Austin, then I lost track of him.

In Summer 2005, at the University of Michigan I codirected
a project of Murat Ahmed on stochastic modeling of disease spread;
here is a link to his paper.
Murad earned a Ph.D. in Statistics from Stanford University,
and is presently working as a Quantitative Researcher
at Radix Trading in New York City area.

In Summer 2003, Ronit Slyper worked with me
at the Math Department of the University of Michigan
on a problem related to dynamical systems and symplectic geometry.
Here is a link
to the paper she wrote. After her graduation from University of
Michigan, Ronit earned a Ph.D. in Computer Science from Carnegie
Mellon University, and presently works as
a Software Engineer at Google, Tel Aviv.

I have also done research with the following students,
but do not have their writeups (some did not write a polished enough
report, some reports got lost):

Lydia England, Independent Study
on Differential geometry (Spring 2024);

Lydia England, Independent Study
on Groups and representations (Fall 2023);

Lydia England, Directed Reading on
on Calculus of variations and Hamiltoniand dynamics (Spring 2023);

Gulzira Huxitaer, Independent Study
on Complex analysis methods for twodimensional fluid flow (Spring
2019);

Bailey Hein, Independent Study on Basic concepts in
elasticity theory (Spring 2018);

Gavin Jergensen, Thomas Pharis, Duncan Walter,
Nathanial Lydick, and Avraham Revah,
Honors Reading/Honors Research on
Elements of differential geometry (Spring 2017);

Hunter Ash, Physics Capstone Project on Symmetries of the Kepler
problem in classical and quantum mechanics (Fall 2014Spring 2015);

Jacob Stinnett, Physics Capstone Project on Lie series
perturbation methods in Hamiltonian mechanics (Fall 2011Spring 2012);

Jacob Stinnett on Bifurcation of solutions of differential equations
(Summer 2011);

Miki Jamerson on Periodic solutions of differential equations
(Summer 2011) (later Miki earned a degree of Master of Accountancy
at the University of Iowa, and is presently working
at PricewaterhouseCoopers LLP, Chicago);

Scott Lowe on Computing stability properties of periodic orbits of
autonomous systems of differential equations (Summer 2010)
(in 2012 Scott was a Fellow of Venture For America,
then worked as a software engineer, and presently is
a cofounder & CTO at Castle, Detroit);

Miki Jamerson on Perturbative methods for differential equations
(Summer 2010);

Justin Glick on Properties of solutions of differential equations
(Summer 2010) (after working as a teacher at Putnam City Public
Schools, Justin went on to earh an M.S. in Mathematical Finance
from the University of North Carolina at Charlotte,
and presently works as Operations Analyst at Wells Fargo, Charlotte);

Jonathan Sharp and Feng Nai on Dynamics of an elastic pendulum
(Summer 2007) (presently Feng is a graduate student at the
Advanced Radar Research Center, University of Oklahoma);

Clint Vrazel on Formal power series solutions of functional equations
(Summer 2007) (after working as a writer, performer, and corporate
trainer at Twinprov, Clint is now working as a Client Operations
Support Analyst at TMW Systems, Oklahoma City);

Kimberly Saylor on Billiards and dynamical systems (Summer 2006)
(presently Kim is working as a Pricing Actuary at American Fidelity,
Oklahoma City).