Nero Budur  H.J. Kenna Assistant Professor, University of Notre Dame

CV

Publications

Lecture Notes

Teaching

Future activities

Recent activities

Seminars

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), and differential geometry (geometric stability). My work has been sponsored by NSF, NSA, and the H.J. Kenna endowment.

Teaching

• 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 workshop "Singularities in Midwest", University of Wisconsin, Mar 22-24, 2012.
• To speak at the Special Session on Singularities at the AMS Meeting, Lawrence, Kansas, Mar 30 - Apr 1, 2012.
• Workshop "Motivic Donaldson-Thomas theory and singularity theory", AIM, Budapest, Hungary, May 7-11, 2012.
• To speak at the conference "Arrangements in Pyrénées", Pau, France, June 11-15, 2012.
• To give a survey lecture on "Birational geometry and singularities" at the Symposium "Interactions of birational geometry with other fields", Durham (UK), July 2-7, 2012.
• Workshop "Singularities", Oberwolfach, Germany, Sept 23-29, 2012.
• 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, Mangalia, Romania, June 21-24, 2013.

Recent activities

• 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 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.
• Graduate Students Seminar.  

Lecture Notes

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

Miscellanea

• Math and FAA.

© 2009