Dr. Daniele Arcara

Chair and Associate Professor of Mathematics  

W207, Sis and Herman Dupré Science Pavilion 

(724) 805-2934 
daniele.arcara@stvincent.edu 

Education

Accounting – Accounting Technical Institute, I.T.C.S. Caio Plinio Secondo, Como, Italy – July 1992. 
B.S. (Mathematics) – Universita` di Torino, Turin, Italy – July 1996. 
Ph.D. (Mathematics) – University of Georgia, Athens, GA – May 2003. 
Visiting Assistant Professor (Lecturer) – University of Utah, Salt Lake City, UT – July 2003-June 2006. 
Assistant Professor – St. Vincent College – July 2006-June 2012.
Associate Professor – Saint Vincent College – July 2012-present.

Courses Taught

MA 109 Calculus I
MA 110 Calculus II
MA 111 Calculus I
MA 112 Calculus II
MA 113 Calculus III
MA 201 Abstract Algebra I
MA 202 Abstract Algebra II
MA 223 Mechanics: Statics
MA 224 Mechanics: Dynamics
MA 350 Independent Study
MA 550 Cooperative Education 

Publications 

D. Arcara, A lower bound for the dimension of the base locus of the generalized theta divisor, C. R. Acad. Sci. Paris, Ser. I 340 (2005), Issue 2, pp. 131-134. 
D. Arcara, Extensions and rank-2 vector bundles on irreducible nodal curves, Internat. J. Math., Vol. 16, No. 10 (2005), pp. 1081-1118. 
D. Arcara, Y.-P. Lee, Tautological equations in genus 2 via invariance constraints, Bull. Inst. Math. Acad. Sin. (N.S.) 2 (2007), no. 1, pp. 1-27. 
D. Arcara, Y.-P. Lee, On independence of generators of tautological rings, Comp. Math. 144 (2008), no. 6, pp. 1497-1503. 
D. Arcara, Y.-P. Lee, A new Tautological Relation in \Mbar_{3,1} via the Invariance Constraint, Canad. Math. Bull. Vol. 52 (2), 2009, pp. 161-174. 
D. Arcara, F. Sato, Recursive formula for \psi^g-\lambda_1\psi^{g-1}+...+(-1)^g\lambda_g in \overline{M}_{g,1}, Proc. Amer. Math. Soc.  137 (2009), no. 12, pp. 4077-4081.
D. Arcara, A. Bertram, Reider’s Theorem and Thaddeus Pairs Revisited, in Grassmannians, Moduli Spaces and Vector Bundles, Clay Mathematics Proceedings, Volume 14, 2011.
D. Arcara, A. Bertram, Bridgeland-stable moduli spaces for K-trivial surfaces, J. of the European Math. Soc., Volume 15, Issue 1, 2013, pp. 1-38 (with an appendix by Max Lieblich).
D. Arcara, A. Bertram, I. Coskun, J. Huizenga, The minimal model program for the Hilbert scheme of points on P^2 and Bridgeland stability, Advances in Mathematics 235 (2013), pp. 580-626. 

Collaborators

A. Bertram, University of Utah, Salt Lake City, UT.
I. Coskun, University of Illinois at Chicago, Chicago, IL.
E. Miles, Colorado State University, Fort Collins, CO.

Committee Service

Student Government Association, as Faculty Advisor, 2009-present.
Student Faculty Administration Benedictine Committee, 2007-2008, 2009-present.
Faculty Compensation Committee, 2007-2012, chair 2011-2012.
Hourly Grievance Committee, 2008-2009.
Nominations and Elections Committee, 2008-present, chair 2009-2011.
Faculty Council, 2009-2012.