# 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.