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Bryan
Petrak
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