Daniele Arcara Ph.D.

Professor, Mathematics
Daniele Arcara Ph.D.
Education
  • Ph.D., University of Georgia
  • B.S., Universita di Torino
  • Accounting, Accounting Technical Institute
Contact
Email daniele.arcara@stvincent.edu
Phone 724-805-2934
Office Location
Dupre Science Pavilion, W207
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.
Related 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.
Courses Taught
  • Abstract Algebra
  • Abstract Algebra II
  • Calculus I
  • Calculus II
  • Calculus III
  • Cooperative Education
  • Independent Study
  • Mechanics: Dynamics
  • Mechanics: Statics
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.