Nero Budur   Assistant Professor, University of Notre Dame

CV

Publications

Lecture Notes

Teaching

Future activities

Recent activities

Seminars

Advising

Miscellanea

Contact

My work is in Algebraic Geometry. My focus is on singularities and the effect they have on the local and global geometry of varieties.  Among my interests are topics connected with higher-dimensional birational geometry (singularities of pairs, multiplier ideals), topology (Milnor fibrations, local systems), number theory (Igusa local zeta functions), representation theory (D-modules), combinatorics (hyperplane and subspace arrangements), commutative algebra (test ideals), differential geometry (geometric stability), and physics (string theory). My work has been sponsored by NSF, NSA, Simons Foundation, and the H.J. Kenna endowment.

More details on my research and teaching can be found here.

Teaching

• 2013 Spring: Topics in Algebraic Geometry II: Mixed Hodge Structures - MATH 80620.
• 2012 Fall: Calculus A for Life Sciences - MATH 10350.
• 2012 Spring: Intro to Algebraic Geometry II - MATH 80620.
• 2011 Fall: Linear Algebra - MATH 20610.
• 2011 Fall: Intro to Algebraic Geometry - MATH 60710.
• 2010 Spring: Elements of Calculus II for Business - MATH 10260.
• 2009 Fall: Elements of Calculus II for Business - MATH 10260. Coordinating chair.
• 2009 Spring: Basic Algebra II – MATH 60220.
• 2009 Spring: Algebraic Geometry.
• 2008 Fall: Basic Algebra I - MATH 60210.

Future activities

• To speak at the AMS Spring Western Sectional Meeting, special session on "Singular spaces in Geometry, Topology and Algebra", Boulder, Colorado, April 13-14, 2013.
• Will co-organize with F. Loeser (UPMC) and M. Mustata (Michigan) a thematic program on Motivic Invariants and Singularities during May 20- June 7, 2013 at the Center of Mathematics at Notre Dame.
• To speak at the conference "Experimental and theoretical methods in algebra, geometry, and topology" in honor of the 60th birthdays of A. Dimca and S. Papadima, Eforie Nord, Romania, June 21-24, 2013.
• To speak at the Joint International Meeting of the AMS and the Romanian Mathematical Society, special session on "Geometry and Topology of Hyperplane Arrangements", Alba Iulia, Romania, June 27-30, 2013.
• To speak at the minisymposium "D-modules" during the SIAM Conference in Applied Algebraic Geometry, Colorado State University, Fort Collins, CO; August 1-4, 2013.
• Workshop "Mixed Hodge Modules", Clay Institute, Oxford, England, August 19-23, 2013.
• To give a course on "Bernstein-Sato polynomials" at the Summer School on Algebra and Algebraic Analysis and Algorithms, Rolduc Abbey, Netherlands, organized by V. Levandovskyy and E. Zerz, September 2-6, 2013.
• To speak at the International Conference in honor of the 60th Birthday of Ignacio Luengo, Miraflores de la Sierra, Madrid, Spain, September 9-13, 2013.

Recent activities

• Presented a talk at the Algebra Seminar, RWTH Aachen University, Germany, Jan 11, 2013.
• Presented a talk at the Mathematisches Kolloquium at the Ruprecht-Karls-Universität Heidelberg, Germany, Jan 10, 2013.
• Presented a talk at the Algebraic Geometry Seminar, Gutenberg Universität, Mainz, Germany, Jan 9, 2013.
• Presented a Colloquium talk at Purdue University, Oct 30, 2012.
• Workshop "Singularities", Oberwolfach, Germany, Sept 23-29, 2012. (trip canceled)
• Presented a talk at the conference "Singularities and Applications", IMUS, Seville, Spain, July 17-21, 2012.
• Presented a talk on "Birational geometry and singularities" at the Symposium "Interactions of birational geometry with other fields", Durham (UK), July 2-7, 2012.
• Presented a talk at the conference "Arrangements in Pyrénées", Pau, France, June 11-15, 2012.
• Presented a talk at the Algebraic Geometry Seminar, Université de Nice, France, May 31, 2012.
• Workshop "Motivic Donaldson-Thomas theory and singularity theory", AIM, Budapest, Hungary, May 7-11, 2012.
• Presented a talk at the workshop "Singularities in Midwest", University of Wisconsin, Mar 22-24, 2012.
• Presented a talk at the Special Session on Singularities at the AMS Meeting, Lawrence, Kansas, Mar 30 - Apr 1, 2012.
• Presented a talk at the conference on "Algebraic Geometry", Chulalongkorn University, Bangkok, Thailand; December 19 - 23, 2011.
• Presented a talk at the research program Algebraic vs Analytic Geometry, Schroedinger Institute, Vienna, Austria; November 27 - December 5, 2011.
• Presented a talk at the Special Session in Algebraic Geometry at the AMS Meeting, University of Utah, October 22-23, 2011.
• Research visits during year 2010-2011: Nice, IHES, MPI, Johns Hopkins.
• Presented a talk at the 7th Congress of Romanian Mathematicians, Braşov, Romania, June 29 - July 5, 2011.
• Research in Pairs at Fondazione Bruno Kessler, Centro Internazionale per la Ricerca Matematica, Trento, Italy. June 15-26, 2011.
• Presented a talk at the Algebraic Geometry Seminar, University of Trento, Italy, June 22, 2011.
• Presented a talk at the Geometry Seminar, University of Science and Technology of China, Hefei, May 30, 2011.
• Presented a talk at the Special Session on "The Algebraic Geometry and Topology of Hyperplane Arrangements" at the AMS Spring Eastern Section Meeting, College of Holly Cross, MA, April 9-11, 2011. Organized by G. Denham and A. Suciu.
• Presented a talk at the Algebraic Geometry and Number Theory Seminar, Johns Hopkins University, Baltimore, February 22, 2011.
• Presented a talk at the Geometry-Algebra-Singularities-Combinatorics Seminar, Northeastern University, Boston, February 14, 2011.
• Presented a talk in the Algebraic Geometry session of the Centennial Congress of the Spanish Royal Mathematical Society, Avila, Spain, February 1-5, 2011.
• Gave a short course on "Multiplier ideals, Milnor fibers, and other singularity invariants" at the conference "Multiplier Ideals in Commutative Algebra and Singularity Theory'', CIRM Luminy, Marseille, France, January 24-29, 2011.
• Presented a talk at the Algebraic Geometry Seminar in Mainz, Germany, on November 25, 2010.
• Organized together with L. Ein a special session on "Singularities in Algebraic Geometry" at the AMS Fall Central Section Meeting, Notre Dame, November 5-7, 2010. HERE ARE SOME TALKS FROM THE AMS MEETING.
• Presented a talk at the Algebraic Geometry Seminar in Leuven, Belgium, on October 27, 2010.
• Presented a talk at the Algebra, Geometry, and Topology Seminar, University of Nice, France, on September 16, 2010.
• Presented a talk at the "Alexandru Myller" Mathematical Seminar Centennial Conference, Iaşi, Romania, June 21-26, 2010.
• Presented a talk at the workshop on "Algebra and Geometry of Configuration Spaces and related structures", Pisa, Italy, June 21-25, 2010.
• Presented a talk at the AMS-SMM Eight International Meeting, Berkeley, June 2-5, 2010. Special session on Singularity Theory and Algebraic Geometry.
• Presented a talk at the Second International Workshop on Zeta Functions in Algebra and Geometry, Palma de Mallorca, Spain, May 3-7, 2010.
• Presented a talk at "Algecom", the Purdue-UIUC miniconference on algebra, geometry, and combinatorics. Organized by S. Basu, H. Schenk, U. Walther, A. Yong. Purdue University, May 1, 2010.
• Organized together with A. Corso, J. Migliore, C. Polini, the MAGIC'10 (Midwest Algebra, Geometry, and their Interactions Conference) at Notre Dame, April 23-25, 2010.
• Presented a talk at "Singularities in Midwest", University of Wisconsin - Madison. Organized by L. Maxim, March 19-20, 2010.
• Presented a talk at the conference in honor of A. Libgober's 60th birthday, UIC, October 16-18, 2009.
• Presented a talk at "Fundamental groups in Algebraic Geometry", Nice, May 2009, organized by A. Dimca and C. Simpson.

Seminars

• Algebraic Geometry and Commutative Algebra seminar.
• Motivic Milnor Fiber Seminar - Spring 2012.
• Gromov-Witten vs Donaldson-Thomas Invariants Seminar - Spring 2012.
• Graduate Students Seminar.  

Lecture Notes

• Multiplier ideals, Milnor fibers, and other singularity invariants. Luminy, Jan. 2011.

Advising

• Dr. Botong Wang (Postdoc at Notre Dame, 2012-2015)
• Dr. Youngho Yoon (PhD 2013; postdoc fellow at IBS Center for Geometry and Physics, Pohang, Korea, 2013-2016)
• Elif Altinay (PhD student, graduation 2016 expected)
• Luis Saumell (PhD student, graduation 2017 expected)

Miscellanea

    I am a private pilot and support AOPA.

© 2013