Office Hours

M 11:30 AM-12:30 PM
T 01:30 PM-02:30 PM
W 11:30 AM-12:30 PM
R 03:00 PM-04:00 PM
F 11:30 AM-12:30 PM

 I graduated with my B.S. in Mathematics 1999 and Ph.D. in Mathematics in 2005, both degrees from the University of New Hampshire. My doctoral thesis was completed under the supervision of Liming Ge, and contributed to the field of von Neumann algebras.

Joining the Siena faculty as a fresh Ph.D. in 2005, I immediately began working with students on undergraduate research, and am proud to have supervised many undergraduate research projects that have resulted in publications with student authors and coauthors. Our work has led to invitations for me and my students to speak nationally and internationally, from Schenectady to Shanghai.

My teaching philosophy is centered on the idea that a mathematics instructor's main task is to carefully and unobtrusively arrange mathematical experiences that encourage each individual student's inquiry and careful investigation. I'm happy to have had the opportunity to craft and run courses that my students repeatedly affirm "are never just about the grade".  

Degree Program University
Ph.D. Mathematics The University of New Hampshire
B.S. Mathematics The University of New Hampshire

My Siena Experience

My Teaching Philosophy

If it isn't in your head, you can't use it to think. I believe that students should work hard to conceptualize and internalize concepts so the concepts can be thought about fluently. If technology is to be used, it should be used to help in the construction of a sharp mental model that can be thought about without the technology at hand. I want to combat the unfortunate contemporary belief that we do not need to internalize ideas or information because of calculators or Google. In the classroom I aim to employ active learning methods that encourage constructive thought.

What I Love About Siena

My colleagues are some of the most dedicated and compassionate people I've ever had the opportunity to know. My students are respectful and try their best. These are my favorite things about Siena.

My Favorite Courses to Teach

I like to teach Modern Algebra and Real Analysis. In these courses, students get a taste of what it means to be a mathematician.

My Professional Experience

Year Title University
2017 - Now Professor Siena College
2011 - Now Associate Professor, Mathematics Siena College
2005 - 2011 Assistant Professor, Mathematics Siena College
2004 - 2005 Dissertation Fellow, Mathematics The University of New Hampshire
1998 - 2004 Teaching assistant, Mathematics Instructor The University of New Hampshire
1995 - 1995 Research assistant, Physics The University of New Hampshire

Articles & Book Reviews

  • On Noncommutative Joinings
    International Mathematical Research Notices
    2017
  • Impact of the Siena College Tech Valley Scholars Program on Student Outcomes
    Journal of STEM Education
    2016
  • The Correlation Numerical Range and Trace-Positive Complex Polynomials
    Operators and matrices
    2016
  • The Modular Symmetry of Markov Maps
    Journal of Mathematical Analysis and Applications
    2016
  • A note on moments in finite von Neumann algebras
    INVOLVE Journal
    2011
  • On the Spectrum of Banach Algebra-Valued Entire Functions
    Illinois Journal of Mathematics
    2011
  • A Non-Residually Finite Hyperlinear One-Relator Group
    Proc. Amer. Math. Soc
    2010
  • A Note on Non-Residually Solvable Hyperlinear One-Relator Groups
    INVOLVE Journal
    2010
  • Some Remarks on Haagerup's Approximation Property
    Journal of Operator Theory
    2008
  • A Folner Invariant for Type II_1 Factors
    Expo. Math
    2007
  • Transitive Families of Projections in Factors of Type II_1
    Proc. Amer. Math. Soc
    2004

Presentations

  • Correlation Numerical Range
    2015
    Data Science and Mathematics, Providence, Rhode Island
  • The correlation numerical range and trace-positive polynomials
    2015
    1114th Meeting of the AMS (California State University, Fullerton), Fullerton, California
  • The correlation numerical range and trace-positive polynomials
    2015
    Union College Mathematics Seminar, Schenectady, New York
  • Generic Weak Mixing and the Negation of Property (T)
    June, 2014
    Operator Algebras Seminar, Morningside Institute Chinese Academy of Sciences, Beijing, China-PRC
  • Joinings and Correspondences
    June, 2014
    Analysis Seminar, Morningside Institute, Chinese Academy of Sciences, Beijing, China-PRC
  • The Kadison-Singer Problem
    November, 2013
    SUNY Albany, Albany, United States of America
  • Weak Mixing and the Negation of Property T
    2013
    University of Waterloo Operator Algebra Seminar, Waterloo, Canada-Ontario
  • Joinings and Correspondences
    April, 2012
    University of Virginia Operator Algebras and Operator Theory Seminar, Charlottesville, Virginia
  • A Panoply of Pigeonhole Principle Pranks with a Practical Application
    2012
    Siena Mathematics Colloquium, Loudonville, New York
  • Correspondences of Finite von Neumann Algebras and Joinings of Measurable Dynamical Systems
    2012
    International Conference on Operator Theory and Operator Algebras, Shanghai, China-PRC
  • Joinings and Correspondences
    2012
    University of Michigan at Dearborn Analysis Seminar, Dearborn, Michigan
  • Operator Algebras and Quantum Entanglement
    2012
    Siena Mathematics Colloquium, Loudonville, New York
  • Operator Algebras and Quantum Entanglement
    2012
    Vassar College Mathematics Colloquium, Poughkeepsie, New York
  • Operator algebras and Quantum Entanglement
    2012
    Skidmore College Mathematics Colloquium, Saratoga Springs, New York
  • Joinings and Correspondences
    November, 2011
    New Hampshire Operator Theory Symposium, Hanover, New Hampshire
  • Rigidity and Finite von Neumann Algebras
    February, 2010
    SUNY Albany, Albany, United States of America
  • Hyperlinearity and One-Relator Groups
    2010
    SUNY Albany, Albany, New York
  • On the Closability of Certain L2 Derivations
    2009
    Vanderbilt University, Nashville, Tennessee
  • An introduction to free probability
    October, 2008
    SUNY Albany, Albany, United States of America
  • Correspondences and Haagerup's Approximation Property
    2008
    MAA Seaway, Unknown, Unknown
  • Correspondences and Haagerup's Approximation Property
    2008
    SUNY Albany, Albany, New York
  • Haagerup's Approximation Property and Relative Amenability
    2008
    2008 GPOTS at U. of Cincinnati, Cincinnati, Ohio
  • The Haagerup Property and Correspondences
    2007
    Texas A&M University, College Station, Texas
  • Folner Invariants for II_1 Factors
    2006
    2006 GPOTS (Great Plains Operator Theory Symposium) at the U. of Iowa, Iowa City, Iowa
  • A Folner Invariant for II_1 Factors
    2005
    CRANTS (SUNY Albany), Albany, New York
  • Burnside Factors, Amenability Defects and Transitive Families of Projections in Factors of Type II_1
    2005
    Thesis Defense (UNH), Unknown, Unknown
  • Groups and Rubik's Cube
    2005
    Siena Mathematics Colloquium, Loudonville, New York
  • Transitive Families in Finite Factors
    2005
    Capital Region Algebra and Number Theory Seminar (CRANTS) SUNY Albany, Albany, New York
  • Burnside Factors
    2004
    UNH Math Seminar, Durham, New Hampshire
  • Transitive Families in Factors
    2004
    Vanderbilt University, Nashville, Tennessee