• Allegheny College, Assistant Professor of Mathematics, Fall 2004-present.
• Union College, Visiting Assistant Professor of Mathematics, Fall 2002-Spring 2004
• University of Michigan, Assistant Professor of Mathematics, Fall 1999-Spring 2002.

• Ph.D. Mathematics, University at Albany (SUNY), 1999.
  • Thesis, Wandering property for Bergman submodules over singly generated algebras, directed by Professor Michael Stessin.
• MA in Mathematics (with distinction), Potsdam College (SUNY), 1992.
  
• BA in Mathematics and Physics (summa cum laude), Potsdam College (SUNY), 1992.
  

Publications

• Please see the Research page

Research Interests

• Complex analysis; function theory; operator theory on spaces of analytic functions.

Grant and Honors

• National Science Foundation grant recipient, Recent Advances in Operator-Related Function Theory (with R. Weir), $17,000, for conference funding, 2005.
• VIGRE Postdoctoral Fellow, University of Michigan, Fall 2000-Spring 2002.
• Outstanding Achievement in Teaching Award, University at Albany (SUNY), 1998.
  

Professional Service

• Conference organizer, Recent Advances in Operator-Related Function Theory (with D. Girela, D. Vukoti\'c, and R. Weir), El Escorial, Spain, 2005.
• Referee for Acta Mathematica Sinica, English Series, 2007.
• Referee for the International Journal of Mathematics, 2006.
• Referee for Complex Variables and Elliptic Equations, 2006.

Invited Talks

• TBA, Universidad Autonoma de Madrid, 2007
• TBA, University of South Florida, 2007.
• Conditional Expectation and the Bergman Projection, Colloquium, University at Albany (SUNY), December 2004.
• Using Complex Analysis to do Operator Theory, Math Faculty Lecture Series, Allegheny College, November 2004.
• Conditional Expectation and the Bergman Projection, AMS Special Session on Linear Operators on Function Spaces, University of North Carolina, Chapel Hill, October 2003.
• Conditional Expectation and the Bergman Projection, Young Analysts Meeting in the South, Furman University, July 2003.
• Invariant subspaces of the Hardy and Bergman spaces, Analysis seminar, University of Auckland (New Zealand), June 2002.
• Composition operators for the Fock space, Operator theory seminar, University of Virginia, December 2001.
• Wandering Property in Weighted Bergman Spaces, Colloquium, University at Albany (SUNY), March 2001.
• Bounded Univalent Mappings and the Wandering Property, Special Session on Spaces of Holomorphic Functions, 2000 Fall Western Region Meeting of the AMS, San Francisco State University, October 2000.
• Extensions of Beurling's Theorem, Analysis seminar, Wayne State University, April 2000.
• Wandering Property in the Bergman Space, Special Session on Bergman Spaces, AMS/MAA Joint Meetings, San Antonio, TX, January 1999.

Contributed Talks

• Composition operators for the Fock space, Southeastern Analysis Meeting, University of North Carolina, Chapel Hill, March 2002.
• Invariant subspaces of the Bergman space, Southeastern Analysis Meeting, University of Virginia, March 2000.
• Beurling-type Theorems for the Bergman Space, Wabash Extramural Modern Analysis Miniconference, IUPUI, October 1999.
• Beurling's Theorem and Related Results, 25th Annual New York Regional Graduate Mathematics Conference, Syracuse University, April 1999.
• Several seminar talks given at the University of Michigan during my employment there will not be listed here.

Recent conferences attended (since hire at Allegheny College)

• Southeastern Analysis Meeting, Vanderbilt University, Spring 2008.
• Classical Analysis Conference, University of North Carolina at Chapel Hill, September 2007.
• Extremal Problems in Complex and Real Analysis, Peoples Friendship University of Russia, Moscow, Russia, May 2007.
• Southeastern Analysis Meeting, University of Richmond, March 2007.
• Joint Meetings of the American Mathematical Society and the Mathematical Association of America, New Orleans, LA, January 2007.
• Recent Advances in Operator-Related Function Theory, El Escorial, Spain, October 2005.
• Southeastern Analysis Meeting, Washington and Lee University, April 2005.
• Fall Eastern Section Meeting of the American Mathematical Society, University of Pittsburgh, November 2004.
• Fall Southeastern Section Meeting of the American Mathematical Society, Vanderbilt University, October 2004.

Recent courses taught (Allegheny College)

• Calculus I
• Calculus II
• Calculus I for Social/Life Sciences
• Calculus II for Social/Life Sciences
• Ordinary Differential Equations
• Introduction to Analysis
• Real Analysis
• Descriptive Communication and Inquiry: Mathematics and Storytelling

Recent involvement with senior projects (Allegheny College)

• Dirichlet Norms of Composition Operators Generated by Univalent Full-Mappings, by Alex Tongchinsub, Spring 2006. (First reader)
• Applications of Inferential Probability and Statistics to the Game of Baseball, by James L. Fernandez, II, Fall 2006. (Second reader)
• Three Theorems of Kakutani and their Application to Mathematical Economics, by Brian Stanley, Fall 2006. (Second reader)
• Existence of Nash Equilibrium in $N$ Person Non-Cooperative Games, by Robert Anthony Clark, Spring 2006. (Second reader)

Earlier teaching (Union College, University of Michigan, University at Albany)

• First-year courses taught:
  • Advanced Placement Calculus (Union College)
  • Calculus with Precalculus (Union College)
  • Applied Honors Calculus (University of Michigan)
  • Calculus I (Harvard approach)(University of Michigan)
  • Calculus II (Harvard approach)(University of Michigan)
  • Calculus I (traditional approach)(University at Albany)
  • Calculus II (traditional approach)(University at Albany)
  • Elementary Statistics (University at Albany)
• Sophomore through senior level courses taught:
  • Multivariable Calculus (Union College, University at Albany)
  • Probability (Union College, University of Michigan)
  • Complex Analysis (Union College)
  • Topics in Analysis (Union College)
  • Introduction to Real Analysis (University of Michigan)
  • Differential Equations (theoretical version) (Union College)
  • Advanced Mathematics for Engineers (University of Michigan)
  • Linear Algebra and Calculus (Actuarial review)(University at Albany)
• Undergraduate theses directed (Union College, 2002-2004):
  • Fun with Measure Theory, by Mark Brown.
  • The Mathematics of Karl Weierstrass and Georg Cantor, by Rebecca Feldman.
  • Joseph Fourier: A Glance at Mathematical Physics, by Alyson Ligon.
  • A Series of Enlightening Concepts, by Melissa Winston.
• Graduate course taught:
  • Theory of Bergman spaces, independent study,University of Michigan.
• Ph.D. dissertation committee:
  • The Global Topology of Deformation of Spaces of Kleinian Groups, by John Holt, University of Michigan, 2000.

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