Daniele Arcara's Web Page
Curriculum Vitae
| Name: |
Daniele Arcara |
| Address: |
Department of Mathematics |
|
University of Utah |
|
155 S 1400 E Room 233 |
|
Salt Lake City, UT 84112-0090 |
| Phone: |
801-581-6131 |
| E-mail address: |
arcara@math.utah.edu |
| Web Page: |
http://www.math.utah.edu/~arcara |
| Place of birth: |
Como, Italy |
| Birth date: |
April 20, 1974 |
| VISA Status: |
U.S. Permanent Resident |
Educational History
- Accounting - July 1992 - Accounting Technical Institute, I.T.C.S.
Caio Plinio Secondo, Como, Italy.
- B.S. (Mathematics) - July 1996 - Universita` di Torino, Turin, Italy.
- Ph.D. (Mathematics) - May 2003 - University of Georgia, Athens, GA.
- Visiting Assistant Professor (Lecturer) - July 2003/June 2006 - University
of Utah, Salt Lake City, UT.
Research Area
- Algebraic geometry:
- Moduli Spaces of Stable Objects in the Derived Categories of Algebraic
Surfaces.
- Moduli Spaces of Stable Curves and their Tautological Rings.
- Moduli Spaces of Vector Bundles on Algebraic Curves and Surfaces.
Publications
Other Papers & Preprints
- Classificazione delle Superficie
Algebriche e Superficie di Enriques (On the Classification of Complex
Algebraic Surfaces and Enriques' Surfaces), Bachelor's Thesis, July 1996.
- Moduli Spaces of Vector Bundles on Curves, Ph.D. Thesis, May 2003.
- Tautological
equations in genus 2 via invariance conjectures, joint work with Y.-P. Lee, preprint, 2005.
- Tautological
equation in \bar{M}_{3,1} via invariance conjectures, joint work with Y.-P. Lee, preprint, 2005.
- Recursive formula for
psi^g - lambda_1 psi^{g-1} + ... + (-1)^g lambda_g in \Mbar_{g,1}, joint
work with F. Sato, preprint, 2006.
- On independence of
generators of the tautological rings, joint work with Y.-P. Lee, preprint, 2006.
- New Moduli Spaces for K3 Surfaces, joint work with A. Bertram, in preparation.
- Tautological relations in \bar{M}_{g,1} via localization, joint work
with F. Sato, in preparation.
Speaker at the following conferences
- "Rank Two Vector Bundles on Singular Curves," at the 2001 AMS Fall
Eastern Section Meeting in Williamstown, Massachusetts, October 13-14,
2001.
- "Rank Two Vector Bundles on a Nodal Curve," at the Conference on
Hilbert Schemes, Vector Bundles and Their Interplay with Representation
Theory in Columbia, Missouri, April 5-7, 2002.
- "Extensions and Rank-2 Vector Bundles on Irreducible Nodal Curves,"
at the 2003 AMS Fall Western Section Meeting in Boulder, Colorado, October
2-4, 2003.
- "On the Base Locus of the Generalized Theta Divisor," at the 2004 AMS Fall
Western Section Meeting in Albuquerque, New Mexico, October 16-17, 2004.
- "Moduli spaces in the derived category of K3 surfaces," at the 2005
AMS Summer Institute on Algebraic Geometry, July 25-August 12, 2005.
- "A relation in the tautological ring of \bar{M}_{g,1}," at the 2005
AMS Fall Western Section Meeting in Eugene, Oregon, November 11-13, 2005.
- "The Invariance Conjectures II," at the Workshop on Moduli Space of Curves
and Gromov-Witten Theory at the University of Michigan, Ann Arbor, Michigan,
April 24-26, 2006.
Other invited talks
- "Alcune Osservazioni sul Luogo Base del Divisore Theta
Generalizzato" (Remarks on the Base Locus of the Generalized Theta
Divisor), Universita` di Torino, Turin, Italy, May 10, 1999.
- "Fibrati Vettoriali di Rango Due su Curve Singolari" (Rank Two
Vector Bundles on Singular Curves), Universita` di Pavia, Pavia, Italy,
March 20, 2002.
- "Can't Define a Map? Just Blow it up!" VIGRE Seminar, University
of Georgia, Athens, GA, October 1, 2002.
- "Can't Define a Function? Just Blow it up!" Graduate Student Colloquium,
University of Utah, Salt Lake City, UT, September 2, 2003.
- "Can't Define a Function? Just Blow it up!" Undergraduate Colloquium,
University of Utah, Salt Lake City, UT, October 7, 2003.
- "Stability of Coherent Sheaves on Algebraic Surfaces (using Derived
Categories)" Universita` di Torino, Turin, Italy, June 3, 2004.
- "Moduli Spaces of Sheaves and Complexes in the Derived Category of K3
Surfaces," Algebra Seminar, Colorado State University, Fort Collins, CO, April
7, 2005.
- "Stable Curves and their Dual Graphs," Slippery Rock University, Slippery
Rock, PA, February 2, 2006.
- "Stable Curves and their Dual Graphs," St. Vincent College, Latrobe, PA,
February 14, 2006.
Lecture Notes
Teaching jobs
- Teaching Assistant for Istituzioni di Matematiche, Universita` di
Torino, Fall 1996.
- Instructor for Calculus Lab, University of Georgia, Fall 1998.
- Instructor for Calculus and two Calculus Labs, University of
Georgia, Fall 2000.
- Instructor for Calculus and two Calculus Labs, University of
Georgia, Spring 2001.
- Instructor for GRSC 7770 (class for first year graduate students on
how to teach mathematics) and a Calculus Lab, University of Georgia,
Fall 2001.
- Instructor for Calculus, University of Georgia, Spring 2002.
- Teaching Assistant for Math 5003, Mathematics for Elementary
Teachers, through the Writing Intensive Program at the University of
Georgia, Spring 2002.
- Instructor for Introduction to Higher Mathematics, University of
Georgia, Summer 2002.
- Co-instructor for GRSC 7770, a new seminar on teaching for teaching
assistants, University of Georgia, Fall 2002.
- Teaching Assistant for Math 7900, Foundations for Graduate
Mathematics, Fall 2002.
- Instructor for Math 2210,
Multivariable Calculus, University of Utah, Fall 2003.
- Instructor for Math 2210,
Multivariable Calculus, University of Utah, Spring 2004.
- Instructor for Math 5310,
Introduction to Modern Algebra I, University of Utah, Fall 2004.
- Instructor for Math 1090,
Business Algebra, University of Utah, Spring 2005.
- Instructor for Math 3210,
Foundations of Analysis I, University of Utah, Spring 2005.
- Instructor for Math 1260,
AP Calculus II, University of Utah, Fall 2005.
- Instructor for Math 6350,
Commutative Algebra, University of Utah, Fall 2005.
- Instructor for Math 1090,
Business Algebra, University of Utah, Spring 2006.
- Instructor for Math 5910, Supervised Reading (Introduction to Modern
Algebra I), University of Utah, Spring 2006.
Awards
- GSA at the University of Georgia, Academic Year 1998-1999.
- Excellence in Teaching for a Teaching Assistant, University of
Georgia, Fall 1998.
- GSA at the University of Georgia, Academic Year 1999-2000.
- William Armor Wills Memorial Scholarship 2000.
- Outstanding Graduate Teaching Award, University of Georgia,
Academic Year 2000-2001.
- TA
Mentor Program at the University of Georgia, Academic Year 2001-2002.
- Graduate School Dissertation Completion Assistantship,
University of Georgia, Academic Year 2002-2003.
- Outstanding Instructor Award, University of Utah, Academic Year 2004-2005.
References
Last updated on May 18, 2006.