Mailing address:
Department of Mathematics
Fordham University
441 E Fordham Road
Bronx, NY 10458
Email:
Phone:
Fax:
Courses Taught at Fordham University:
Finite
Mathematics, Calculus I and II, Multivariable Calculus I and II,
Discrete Mathematics, Linear Algebra, Probability, Statistics, Numerical Analysis, Mathematics of Finance.
Biography:
David Swinarski majored in math and English at the
University of Notre Dame, graduating in 2001. As an undergraduate
he also did research in computational
organic chemistry with Olaf Wiest. Swinarski received a Marshall
Scholarship in 2000 to study at the University of Oxford in
England. He completed his master's degree in 2003 under the
direction of Frances Kirwan. He received his Ph.D from Columbia University in
2008 under the direction of Michael Thaddeus
and Ian Morrison (Fordham University). He held a postdoctoral
research position at the University of Georgia in Athens (UGA) from
20082011, where he worked with Valery Alexeev and Angela Gibney.
Dr. Swinarski joined the Fordham faculty in August 2011.
Current
Interests and Research:
Dr. Swinarski's research interests include algebraic geometry (the study
of polynomial equations) and applied mathematics. His current research
topics in algebraic geometry include geometric invariant theory, birational geometry of
moduli spaces of curves, vector bundles of conformal blocks, and
automorphisms of curves. Two recent applied mathematics projects
include motion capture to study respiratory motion and modelling
elevator traffic with social distancing. Dr. Swinarski actively collaborates
with researchers at Fordham and Columbia as well as undergraduates at Fordham University.
Publications:
Selected recent publications:
 "Modelling elevator traffic with social distancing in a
university classroom building." To appear in Building Services Engineering Research and
Technology
 "Exercise
motion analysis demonstrating correction of paradoxical chest wall motion following 3D
printed sternal implant for sternal chondrosarcoma resection." With
Layton, Port, McCauley, Thomashow, and Bulman. J Case Rep Images Surg 2019.
 "A new proof of a formula for the type A_2 fusion rules".
With Barker, Vogelstein, and Wu. Journal of Mathematical Physics
2015.
Full publication list
Preprints, drafts, and slides from talks
Undergraduate research:
Eleven undergraduates from Fordham University have worked with
on conformal blocks and fusion rules, sygyzies of canonical
ribbons, and on optoelectronic plethysmography (OEP). More
information
Computer work:
Dr. Swinarski uses several computer languages and packages including
Python, C++, Sage, Magma, Macaulay2, and
Excel in his research and teaching.
