Bryan Petrak
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Bryan Petrak

UD Department of Mathematical Sciences
501 Ewing Hall
Newark, DE 19716
Phone: 302-831-6516 

Research Interests
Finite Geometry
Projective Planes
Polynomials over finite fields
Algebraic methods in discrete mathematics
Graph Theory
Combinatorial Optimization

Education
Ph.D., in Mathematics, University of Delaware, 2012.
Dissertation Title: Finite Figueroa Planes
Advisors: Gary Ebert and Felix Lazebnik
GPA: 3.67/4.0

M.S. in Mathematics, Miami University, 2007.
B.S. In Mathematics and Psychology, University of Mary Washington, 2003.

Teaching Experience

Teaching assistant 2007-present
University of Delaware. Newark, Delaware.
Lead group discussions for Calculus with Applications, Discrete Mathematics I, and Finite Mathematics with Applications.

Graduate Review of Important Problems for Success assistant 2008-2011
University of Delaware. Newark, Delaware.
Worked with a professor to assist incoming graduate students prepare for graduate school by reviewing various topics including proof techniques, Linear Algebra, and Analysis.

Teaching mentor Fall 2011
University of Delaware. Newark, Delaware.
Served model of good teaching to a first year international graduate student to help them prepare them for teaching.

Teaching assistant 2005-2007
Miami University. Oxford, Ohio.
Taught Precalculus to undergraduate students.

Mathematics teacher 2003-2005
Washington and Lee High School. Westmoreland County Public Schools.
Montross, Virginia.
Taught AP Calculus, Precalculus, Algebra II, Computer Mathematics, to high school students.


Computer Skills
Proficient in /C++, Basic, Pascal, and Magma.
Experience with Maple, Mathematica, and Matlab.

Research Experience

2008-2009 Worked under the supervision of Dr. Felix Lazebnik to develop software to find substructures of finite projective planes. Funded by NSA grant no. H98230-08-1-0041.

2010 Worked under the supervision of Dr. Gary Ebert on partial linear spaces into finite projective planes. Funded by NSA grant no. H98230-09-1-0074.


Additional Experience

Building Supervisor 2002-2003
University of Mary Washington Office of Residence Life. Fredericksburg, Virginia.
Supervised a staff of seven resident assistants. Facilitated the formation of community within the residence hall. Served as a liaison between the central office staff and the residence hall. Ensured the enforcement of university policy.

Resident Assistant 2001-2002
University of Mary Washington Office of Residence Life. Fredericksburg, Virginia.
Worked closely with approximately twenty residents to create a living environment. Mediated disputes between residents. Worked as a team with other Resident Assistants to ensured the enforcement of university policy.

Professional Memberships

2005-Present American Mathematical Society
2007-Present Society for Industrial and Applied Mathematics


Publications
"Fano Subplanes in finite Figueroa planes". Journal of Geometry. Vol. 99, Issue 1, 2011.    (preprint)

with Cafer Calsikan, "Subplanes of order 3 in Figueroa planes". Finite Fields and their Applications. Submitted. (preprint)


Presentations
October 2011 The Subplanes of Finite Figueroa Planes,
                        Departmental Colloquium.  University of Mary Washington, Fredricksburg, Virginia


July 2011 Fano subplanes in finite Figueroa planes,
                        Fq10: The 10th International Conference on Finite Fields and their Applications.  Ghent, Belgium

April 2011 Fano subplanes in finite Figueroa planes,
                        Graduate Student Conference on Combinatorics, Penn State University, State College, Pennsylvania


August 2009 Teaching Mathematics, Science and Engineering,
                        2009 Annual Conference for Graduate Teaching Assistants at the University of Delaware.  University of Delaware, Newark, Delaware

Activities
2009-2011 Hallenbeck Graduate Student Seminar Organizer
2009-2010 Mathematics Department Graduate Committee Student Representative
1998 Boy Scouts of America, Eagle Scout Award

Grants and Fellowships
2012 University of Delaware Professional Development Award
2011 University of Delaware Professional Development Award

2010 University of Delaware Department of Mathematical Sciences Unidel Fellowship

Ph.D. Courses
Abstract Algebra
Combinatorics and Graph Theory
Fundamentals of Real Analysis
Functional Analysis
Groups and Their Applications
Introduction to Applied Mathematics
Introduction to Finite Geometry
Introduction to Numerical Analysis and Scientific Computing
Introduction to Stochastic Processes
Probability Theory and Applications
Topology
Vector Spaces

Other Courses
Functions of a Real Variable
Game Theory and Related Topics
Introduction to Complex Variables
Linear Algebra and Fields
Optimization