Diego Penta

I am a mathematics researcher and educator whose interests include Algebra, Geometric Group Theory, Representation Theory, and Mathematical Physics. My current work is in infinite-dimensional Kac-Moody Lie algebras and their representations. I am currently an Assistant Professor of Mathematics at the University Delaware, where I am helping to advance the missions of the Mathematical Sciences Learning Laboratory (MSLL). 

Professional Documents

Curriculum Vitae.

Research Statement.

Teaching Dossier.

Research Papers.

E-mail: penta@udel.edu

Education

• Ph.D. in Mathematics, SUNY Binghamton (May, 2016). Alex J. Feingold, advisor.
  Dissertation.

• M.S. in Mathematics, Rutgers University (May, 2010). Lisa Carbone, advisor.

• B.S. in Materials Science and Engineering, M.I.T. (June, 1996).

UNDERGRADUATE TEACHING:

Assistant Professor, University of Delaware (Fall, 2020 - present)

• Math 231/Math 232 (also coordinated) - Integrated Calculus 1. Fall 2024, Spring 2024, Fall 2023, Spring 2023, Fall 2022, Spring 2022.

• Math 242 - Calculus 2. Spring 2023.

• Math 210 - Discrete Math I. Spring 2021.

• Math 115 - Pre-Calculus. Fall 2022, Spring 2022, Fall 2021, Spring 2021, Fall 2020.

Lecturer, The Ohio State University (Fall, 2016 - Summer, 2018)

• Math 1172 - Engineering Mathematics A. Spring and Summer, 2018.

• Math 1151 - Calculus I. Fall 2017.

• Math 2568 - Linear Algebra (Fundamentals of Engineering Honors Program). Spring 2017.

• Math 2415 - Ordinary and Partial Differential Equations. Fall 2016.

• Math 2162 - Accelerated Calculus II. Fall 2016.

Graduate Student Instructor, SUNY Binghamton (Fall, 2010 - Spring, 2016)

• Math 304 - Linear Algebra. Spring 2016, Summer 2014, Spring 2012, Spring 2011.

• Math 221 - Calculus I (traditional). Summer 2015.

• Math 221 - Calculus I ("flipped"). Fall 2015, Fall 2014, Fall 2013.

• Math 323 - Calculus III. Spring 2013, Fall 2012.

• Math 222 - Calculus II. Spring 2015, Fall 2011.

• Math 100C - Advanced Algebra/Pre-Calculus (Educational Opportunity Program). Summers 2011, 2012, 2013, 2015.

• Math 108 - Algebra and Trigonometry. Fall 2010.

Teaching Awards and Testimonials:

• RateMyProfessors: University of Delaware.

• RateMyProfessors: The Ohio State University.

• RateMyProfessors: SUNY Binghamton.

• Graduate Student Award for Excellence in Teaching, SUNY Binghamton, May 2016.

Research Papers:

• (Joint work with L. Carbone, S. Chung, L. Cobbs, R. McRae, D. Nandi, Y. Naqvi) Classification of hyperbolic Dynkin diagrams, root lengths and Weyl group orbits, J. Phys. A: Math. Theor. 43 (2010), 155209.

• (Joint work with K. Andersen, L. Carbone) Kac-Moody Fibonacci sequences, hyperbolic golden ratios, and real quadratic fields, Journal of Combinatorics and Number Theory, Vol 2, No. 3 pp 245-278 (2011).

• (Joint work with L. Carbone, A. Conway, W. Freyn) Weyl group orbits on Kac-Moody root systems, J. Phys. A: Math. Theor. 47 (2014), 445201.

• Decomposing the rank 3 Kac-Moody Lie algebra F with respect to the rank 2 hyperbolic subalgebra Fib, In preparation.

Other Activities:

• UD Summer Math Modeling Program for High Schoolers  - Coordinator and lead instructor, Summers 2024-2026

• Committee member, NSF grant co-author, and co-organizer of the Binghamton University Graduate Conference in Algebra and Topology (BUGCAT) (2010-2014).

• Trainer, Graduate Student Instructor Training Program for Interactive Calculus Classroom, SUNY Binghamton (2015).