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

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.

LIST OF MATH FACULTY

  • Byungik Kahng, (2003-present), Assistant Professor

    Byungik Kahng
      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)

    Peh Ng
      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

    Xiaosheng Li
      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)

    Michael O'Reilly
      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

    Mark Logan
      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)

    David Roberts
      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)

    Barry McQuarrie
      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

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