STUDENT/FACULTY RESEARCH IN MATHEMATICS

Question 3. What Student/Faculty Research Projects Are There?

STUDENT/FACULTY RESEARCH IN MATH/STATS

© 1998,2000,2003,2005,2007,2008 Mathematics Discipline

SUPPORT FROM UNIVERSITY FOR UNDERGRADUATE RESEARCH

UROP (Undergraduate Research Opportunities Program)
MAP (Morris Academic Partners)
MSAF (Morris Student Administrative Fellows)
Service-learning Projects - Partnerships among students, faculty and community.

AREAS OF RESEARCH PROJECTS

STATISTICS

Probabilistic Optimal Allocation & Its Applications on UMM Housing
Dependence Structure Modeling
Statistical Analysis of Stock Market Data
Statistical Analysis of Domestic Violence in Rural Minnesota
Degree of similarity in lifetimes of identical & fraternal twins

APPLIED MATHEMATICS

Classroom Scheduling - Discrete Optimization
Optimal network flows
Leontief matrices and directed hypergraphs
Efficient snow plow routes for the City of Morris
Efficient routes for Recycling Management
Numerical solutions to types of differential equations
chracterization of balanced directed hypergraphs

PURE MATHEMATICS & GEOMETRY

fractals: Mendelbrot & Julia Sets
topological spaces
manifolds: algebraic geometry
decomposition of partially ordered sets (posets)

PARTIAL LIST OF ALUMNI & STUDENTS
Alumni and current students who have collaborated with faculty in the aforementioned undergraduate research programs (UROP, MAP, etc) include:

Charles Rudeen, UMM 2009
Rachel Friedrich, UMM 2009
Samuel Potter, UMM 2009
Matthew Bryan, UMM 2007
Emily Stout, UMM 2007
Chris Orth, UMM 2006
Matt Gravelle, UMM 2006
Katie Sullivan, UMM 2005
Jeanna Schultz, UMM 2004
Chris Zabiski, UMM 2004
Curtis Kunkel, UMM 2003
Joanie Lofgren, UMM 2003
Steve Formaneck, UMM 2002
Dan Enderton, UMM 2002
Helen Lena Wollan, UMM 2001
Daniel Hill, UMM 2001

Laura Eisenmenger, UMM '99
Brent Heeringa, UMM '99
Nic Hopper, UMM '99
James R. Johnson, UMM '99
Deanne Nordberg, UMM '99
Gina Garding, UMM '99
Ross Dierkhising, UMM '98
Lisa Martin, UMM '98
Lora Martin, UMM '98
Ryan Bolduan, UMM '97
Jessica Rybaski, UMM '97
Eric Nordberg, UMM '96
Craig Schwegerl, UMM '96
Ben Winchester, UMM '95
Chris Pezalla, UMM '95

PARTIAL LIST OF STUDENTS' RESEARCH
This is a partial list of publications and presentations at national, regional, and undergraduate conferences, by the above students.

Rachel Fredrich, UMM '09. Project: Existence Theorem for Minimal Normalized Matching Bipartite Graphs. (Research supported by MAP); 2007-2008. Results were presented at the 2008 Joint National Meeting of the American Mathematical Society and the Mathematical Association of America, , in San Diego, CA, January 2008.
Samuel Potter, UMM '09. Project: Directed Hypergraphs with Totally Unimodular Matrices . (Research suported by MAP); 2006-2007. Results presented at the Spring 2007 North Central Section Meeting of the Mathematical Association of America , St. Paul, MN, April 13-14, 2007.
Emily Stout, UMM '07. Project: Characterization of Balanced Matrices in Directed Hypergraphs . (Research suported by MAP); 2005-2006. Results were presented at the 2006 Undergraduate Research Symposium , at UMM, 2006.
Matt Bryan, UMM '07. Project: Combinatorics: Examinations of posets. (Research suported by MAP); 2005-2006. Results were presented at the 2006 Undergraduate Research Symposium , at UMM, 2006.
Kathryn Sullivan, UMM '05. Project: The Pancake Problem: Improving the Bounds for Sorting by Prefix Permutations . (Research suported by UROP); 2004-2005. Results were presented at the 2005 Joint National Meeting of the American Mathematical Society and the Mathematical Association of America, , in Atlanta, GA, January 2005.
Kathryn Sullivan, UMM '05. Project: Finding the weighted minimum sum vertex cover . (Research supported by MAP); 2003-2004.
Jeanna Schultz, UMM '03. Project: Studying Pollution Trends in Lake Systems: Discrete Dynamical Approach . (Research supported by UROP); 2002-2003.
Curtis Kunkel, UMM '03. Project: Improving the bounds for Ramsey number R(5,5) . (Research suported by UROP); 2002-2003. Results were presented at the 2003 Joint National Meeting of the American Mathematical Society and the Mathematical Association of America in Baltimore, MD, January 2003.
Lora M. Martin, UMM '99. Paper on Classroom Scheduling Problem: A Discrete Optimization Approach , Journal of Undergraduate Mathematics and its Applications (UMAP) , Vol 22, No. 4 Winter 2002.
Steve Formaneck, UMM '02. Project: Improving the Semidefinite Coordinate Direction (SCD) and Semidefinite Stand-and-hit (SSH) Methods for Detection of Necessary Linear Matrix Inequalities . (Research supported by UROP); 2001-2002. Results presented at the Joint National Meeting of the American Mathematical Society (AMS) and the Mathematical Association of America (MAA), San Diego, January 2002.
James R. Johnson, UMM '99. Project: Planarity of Leontied Directed Hypergraphs. (Research supported by MAP); 1998-1999. Results were presented at the National Society of Industrial and APplied Mathematics (SIAM) Conference in Discrete Mathematics, 2000.

LIST OF MATH FACULTY

Byungik Kahng, (2003-present), Assistant Professor
- B.S. Seoul National University, Korea
- M.S. Stanford university
- Ph.D. University of Illinois at Urbana-Champaign
- Discrete Dynamical Systems
Peh Ng, (1995-present) Professor (applied mathematician)
- B.S. Adrian College, Michigan.
- M.S., Ph.D. Purdue University.
- Mathematical Programming
- Combinatorial and Discrete Optimization
- Network Modeling and Optimization
- Mathematical Modeling
- Applications of Graph Theory
- Matroid Theory

Xiaosheng Li, (2003-present), Assistant Professor
- B.S. Shanxi Normal University, China
- M.S. University of Illinois at Urbana-Champaign
- Ph.D. University of Illinois at Urbana-Champaign
- Conformal and quasiconformal mappings
- Analysis in metric spaces
- Differential geometry
Michael O'Reilly, (1986-present), Professor (algebraist)
- B.Sc. Queens University, North Ireland.
- Ph.D. Manchester University, England.
- Algebra
- Representation Theory

Mark Logan, (2002-present), Assistant Professor
- B.A. Carleton College, Minnesota
- Ph.D. University of Wisconsin, Madison
- Algebra
- Combinatorics
David Roberts, (1999-present), Associate Professor (pure mathematician)
- B.A. Princeton University.
- Ph.D. Harvard University.
- Number Theory
- Algebraic Geometry
- Group Theory

Barry McQuarrie, (2000-present), Assistant Professor (applied mathematician)
- B.Sc. University of Winnipeg
- M.Math University of Waterloo
- Ph.D. University of Manitoba
- Classical Limit of Quantum Mechanics
- Dynamical Systems
- Numerical Integration
- Molecular Scattering and Photodissociation
- Mathematical Modeling

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This page is [ Question 3. Other than courses, what are the student-faculty scholarly opportunities ]

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© 1998,2000,2003,2005,2007,2008 Mathematics Discipline

Byungik Kahng, (2003-present), Assistant Professor

Education
B.S. Seoul National University, Korea
M.S. Stanford university
Ph.D. University of Illinois at Urbana-Champaign

Areas of Research Interest
Discrete Dynamical Systems

Peh Ng, (1995-present) Professor (applied mathematician)

Education
B.S. Adrian College, Michigan.
M.S., Ph.D. Purdue University.

Areas of Research Interest
Mathematical Programming
Combinatorial and Discrete Optimization
Network Modeling and Optimization
Mathematical Modeling
Applications of Graph Theory
Matroid Theory

Xiaosheng Li, (2003-present), Assistant Professor

Education
B.S. Shanxi Normal University, China
M.S. University of Illinois at Urbana-Champaign
Ph.D. University of Illinois at Urbana-Champaign

Areas of Research Interest
Conformal and quasiconformal mappings
Analysis in metric spaces
Differential geometry

Michael O'Reilly, (1986-present), Professor (algebraist)

Education
B.Sc. Queens University, North Ireland.
Ph.D. Manchester University, England.

Areas of Research Interest
Algebra
Representation Theory

Mark Logan, (2002-present), Assistant Professor

Education
B.A. Carleton College, Minnesota
Ph.D. University of Wisconsin, Madison

Areas of Research Interest
Algebra
Combinatorics

David Roberts, (1999-present), Associate Professor (pure mathematician)

Education
B.A. Princeton University.
Ph.D. Harvard University.

Areas of Research Interest
Number Theory
Algebraic Geometry
Group Theory

Barry McQuarrie, (2000-present), Assistant Professor (applied mathematician)

Education
B.Sc. University of Winnipeg
M.Math University of Waterloo
Ph.D. University of Manitoba

Areas of Research Interest
Classical Limit of Quantum Mechanics
Dynamical Systems
Numerical Integration
Molecular Scattering and Photodissociation
Mathematical Modeling

© 1998,2000,2003,2005,2007,2008 Mathematics Discipline

Byungik Kahng, (2003-present), Assistant Professor

Education B.S. Seoul National University, Korea M.S. Stanford university Ph.D. University of Illinois at Urbana-Champaign Areas of Research Interest Discrete Dynamical Systems

Peh Ng, (1995-present) Professor (applied mathematician)

Education B.S. Adrian College, Michigan. M.S., Ph.D. Purdue University. Areas of Research Interest Mathematical Programming Combinatorial and Discrete Optimization Network Modeling and Optimization Mathematical Modeling Applications of Graph Theory Matroid Theory

Xiaosheng Li, (2003-present), Assistant Professor

Education B.S. Shanxi Normal University, China M.S. University of Illinois at Urbana-Champaign Ph.D. University of Illinois at Urbana-Champaign Areas of Research Interest Conformal and quasiconformal mappings Analysis in metric spaces Differential geometry

Michael O'Reilly, (1986-present), Professor (algebraist)

Education B.Sc. Queens University, North Ireland. Ph.D. Manchester University, England. Areas of Research Interest Algebra Representation Theory

Mark Logan, (2002-present), Assistant Professor

Education B.A. Carleton College, Minnesota Ph.D. University of Wisconsin, Madison Areas of Research Interest Algebra Combinatorics

David Roberts, (1999-present), Associate Professor (pure mathematician)

Education B.A. Princeton University. Ph.D. Harvard University. Areas of Research Interest Number Theory Algebraic Geometry Group Theory

Barry McQuarrie, (2000-present), Assistant Professor (applied mathematician)

Education B.Sc. University of Winnipeg M.Math University of Waterloo Ph.D. University of Manitoba Areas of Research Interest Classical Limit of Quantum Mechanics Dynamical Systems Numerical Integration Molecular Scattering and Photodissociation Mathematical Modeling

Education
B.S. Seoul National University, Korea
M.S. Stanford university
Ph.D. University of Illinois at Urbana-Champaign

Areas of Research Interest
Discrete Dynamical Systems

Education
B.S. Adrian College, Michigan.
M.S., Ph.D. Purdue University.

Areas of Research Interest
Mathematical Programming
Combinatorial and Discrete Optimization
Network Modeling and Optimization
Mathematical Modeling
Applications of Graph Theory
Matroid Theory

Education
B.S. Shanxi Normal University, China
M.S. University of Illinois at Urbana-Champaign
Ph.D. University of Illinois at Urbana-Champaign

Areas of Research Interest
Conformal and quasiconformal mappings
Analysis in metric spaces
Differential geometry

Education
B.Sc. Queens University, North Ireland.
Ph.D. Manchester University, England.

Areas of Research Interest
Algebra
Representation Theory

Education
B.A. Carleton College, Minnesota
Ph.D. University of Wisconsin, Madison

Areas of Research Interest
Algebra
Combinatorics

Education
B.A. Princeton University.
Ph.D. Harvard University.

Areas of Research Interest
Number Theory
Algebraic Geometry
Group Theory

Education
B.Sc. University of Winnipeg
M.Math University of Waterloo
Ph.D. University of Manitoba

Areas of Research Interest
Classical Limit of Quantum Mechanics
Dynamical Systems
Numerical Integration
Molecular Scattering and Photodissociation
Mathematical Modeling