Fordham University

 

  


Dave Swinarski. Associate Professor of Mathematics. Ph.D. Columbia University, 2008.
Department of Mathematics, Fordham University.

Curriculum Vitae

Office:

206 Cunniffe House


Mailing address:

Department of Mathematics
Fordham University
441 E Fordham Road
Bronx, NY 10458


Email:

dswinarski@fordham.edu


Phone:

(718) 817-3034


Fax:

(212) 636-7217


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 2008-2011, 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.

 

 

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