Jon P. Bannon

 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".  

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

Articles & Book Reviews

• Noncommutative Joinings II
  Journal is not in list - being petitioned
  2021
• Full Factors and Co-Amenable Inclusions
  Communications in Mathematical Physics
  2019
• Noncommutative Joinings III
  Operators and matrices
  2019
• 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

• Full Factors and Co-Amenable Inclusions
  2019
  2019 British Mathematical Colloquium, Lancaster, England, United Kingdom
• Full Factors and Co-Amenable Inclusions
  2019
  SUNY Albany Analysis and Data Science Seminar, Albany, New York
• Full Factors and Co-Amenable Inclusions
  2019
  University of Copenhagen Operator Algebras Seminar, Copenhagen, Denmark
• 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