Nero Budur
https://www.kuleuven.be/wis/algebra/budur
1. Positions
2019 - ...
2024 - ...
2020 - ...
2013 - 20192013 - 20152007 - 20132006 - 2007
2003 - 2006

Professor (hoogleraar), KU Leuven
Visiting professor, YMSC, Tsinghua University, Beijing
External scientific member, BCAM Bilbao
Associate Professor (hoofddocent), KU Leuven
Associate Professor, University of Notre Dame
H.J. Kenna Assistant Professor, University of Notre Dame
Member, Institute of Advanced Study, Princeton
J.J. Sylvester Assistant Professor, Johns Hopkins University

2. Education
1998 - 2003
1996 - 1998

Ph.D. in Mathematics, University of Illinois at Chicago,
B.S. University of Illinois at Chicago, Mathematics.

3. Grants
Research:2023 - 2026
2013 - 2023
2019 - 2022
2016 - 2029
2016 - 20182015 - 20182013 - 20172013 - 20152012 - 20172010 - 20122007 - 2010

FWO research project
BOF - Flemish government
FWO research project
Methusalem (co-PI)
FWO bilateral research cooperation with Vietnam
FWO research project
KU Leuven research grant
NSA research grant
Simons Foundation research grant
NSA research grant
NSF research grant

Organizational:

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2013
2013
2005

NSF, Motivic Invariants and Singularities, University of Notre Dame.
NSA, Motivic Invariants and Singularities, University of Notre Dame.
NSF, Higher Dimensional Algebraic Geometry, Johns Hopkins University.

4. Award:
2024

ICBS Frontiers of Science Award in mathematics.

5. PhD students

Graduated:••••••••

Youngho Yoon (PhD 2013, University of Notre Dame)
Luis Saumell San Martin (PhD 2017, University of Notre Dame)
Marcel Rubió (PhD 2019, KU Leuven)
Pietro Gatti (PhD 2019, KU Leuven and University of Padova, co-advisor B. Chiarellotto)
Leonardo Lerer (PhD 2021, Paris-Saclay and Humboldt University, co-advisor B. Klingler)
Haopeng Wang (PhD 2022, KU Leuven)
Robin van der Veer (PhD 2022, KU Leuven, FWO fellowship)
Tran Quang Tue (PhD 2024, KU Leuven, co-advisor Q.T. Le)

Current:•••

Marko Čmrlec (co-advisor J. Fernández de Bobadilla)
Javier de la Bodega (Spanish SRA fellowship, KUL/BCAM, co-advisor J. Fernández de Bobadilla)
Eduardo de Lorenzo Poza (FWO fellowship, KUL/BCAM, co-advisor J. Fernández de Bobadilla)

6. Board membership-Journal of Algebraic Combinatorics, editorial board, 2020 - now.
Belgian Mathematical Society, 2019 - now.

7. Conference organization:

May 12-16, 2025
Dec 20, 2023

Mid-Atlantic Geometry and Singularities Conference, ULL, Tenerife.
Algebraic geometry session at the Young Scholar Day, BMS, Brussels.

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Feb 6-10, 2023
May 18-20, 2022
May 16-17, 2022
Sept 6-10, 2021
Oct 9, 2019
Sept 2-6, 2019
June 10-13, 2019
Sept 20-21, 2018
June 8, 2018
Jan 8-13, 2018
June 6-8, 2016

May 12-15, 2016
Apr 22, 2016
Jul 6-10, 2015
May-Jun 2013
Nov 5-7, 2010
Apr 23-25, 2010
Jul-Aug, 2006
Mar 10-16, 2006

Conference “Singularities and Algebraic geometry”, Nha Trang, Vietnam.
Dynamical Systems and Singularities Conference, UIB, Palma.
Workshop Singularities in Algebraic Geometry, UIB, Palma.
Research school on Milnor Fibrations, Degenerations and Deformations
from Modern Perspectives, CIRM, Luminy.
Workshop in the honor of M. Coppens, KU Leuven.
PKU-KUL mini-conference, BICMR, Peking University, Beijing.
AMS-VMS meeting, special session “Singularities in Algebraic Geometry”,
Quy Nhon, Vietnam.
Belgian-Dutch Algebraic Geometry Seminar - Moonen 50, Nijmegen.
Belgian-Dutch Algebraic Geometry Day, Leuven.
Conference “Singularities in Algebraic Geometry”, Da Nang, Vietnam.
Special session on “Algebraic geometry and singularities” at theSecond Joint Conference of the Belgian, Royal Spanish and Luxembourg
Mathematical Societies, Logroño, Spain.
Conference in the honor of Lawrence Ein’s 60th birthday, UIC, Chicago.
10th Belgian-Dutch Algebraic Geometry Day, Leuven.
Workshop “Computational Geometric Topology in Arrangement
Theory” at ICERM-Brown University.
Thematic program on “Motivic Invariants and Singularity Theory”
at the University of Notre Dame.
“Singularities in Algebraic Geometry” at AMS Central Section
Meeting, University of Notre Dame.
Conference MAGIC’10 at Notre Dame.
Workshop “Birational geometry and numerical invariants of algebraic
varieties” at the American Institute of Mathematics, Palo Alto.
Conference “Recent Developments in Higher Dimensional Algebraic
Geometry”, Johns Hopkins University.

8. Other service-Master in Mathematics thesis coordinator, KU Leuven, 2024-2025.
Academic advisor of the Master in Mathematics program, KU Leuven, 2023 - now.
Program committee (POC) mathematics, KU Leuven, 2023 - now.
Examen committee for Master in Mathematics, KU Leuven, 2016 - now.
Faculty workgroup on diversity, KU Leuven, 2023 - 2024.

-Internal evaluation board, Charles University, Prague, 2024-2025.
European Mathematical Society Council, Bled, Slovenia, 2022.
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-Hiring applications reviewer for University of Münster, 2021.
European Mathematical Society Council, 2020.
Committee for selection for a permanent position, Université Libre de Bruxelles, 2018.
Committee for Algebraic Geometry Prize of Foundation Compositio Mathematica, 2017.
Research quality review committee, UC Cork, Ireland, 2015.
Served on panels for research proposals: NSF, University of Ljubljana.
Served as proposals reviewer for NSF, NSA, BSF Israel, University of Padua.
Search committee, algebra, University of Notre Dame, 2011-2013.
Graduate Studies Committee, mathematics, University of Notre Dame, 2009 - 2010.
Coordinating chair for Calculus II for Business, University of Notre Dame, 2009.

9. Invited lectures
Mini-courses:
06/2024
06/2023
06/2022
04/2019
09/2015
09/2015
09/201301/2011

Lectures on singularities, YMSC, Tsinghua University, Beijing.
Jets and singularities, Lille.
Absolute sets of local systems, St. Jacut de la Mer.
Hodge ideals, Angers.
Local systems in algebraic geometry, IBS Pohang, Korea.
Bernstein-Sato polynomials, UPC Barcelona.
Bernstein-Sato polynomials, Rolduc Abbey, Netherlands.
Course on Multiplier Ideals in Singularity Theory, CIRM Luminy.

Recent and future talks:
09/2025
03/2025
01/2025
11/2024
09/2024
08/2024
08/2024
05/2024
03/2024
01/2024
12/2023
08/2023

Workshop “Singularities, D-modules, and Connections to Physics”, BIRS, Banff, Canada.
Geometria métrica e Topologia do Nordeste, Caponga, Ceara, Brazil.
Conference on singularities, CIRM, Luminy.
Workshop on singularities and mirror symmetry, IMSA, Miami.
Conference on singularities and characteristic classes, Heidelberg.
MIST 2024 Workshop, Chinese University of Hong Kong.
Geometry seminar, University of Hong Kong.
Algebraic geometry seminar, YMSC, Tsinghua University, Beijing.
Conference on singularities, Tuy Hoa, Vietnam.
Conference “Singularity and Birational Geometry”, Yonsei University, Seoul.
Conference “Algebraic Geometry, Lipschitz Geometry and Singularities”, Pipa, Brazil.
Colloquium talk, math department, Univ. South Florida, Tampa.

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07/2023
03/2023
03/2023
02/2023
12/2022
11/2022
09/2022
09/2022
09/202205/2022
04/2022
03/2022
02/2022
11/2021
12/2019
07/2019
04/2019
04/2019
04/2019
03/2019
03/2019
02/2019
01/2019
01/2019
12/2018
11/2018
10/2018
10/2018
07/2018
06/2018
05/2018
04/2018
04/2018
03/2018
02/2018
01/2018
09/2017
07/201706/2017
04/2017

Conference “Geometry, Topology and Algebra of Singular Spaces”, IMAR, Bucharest.
Workshop “Higher Dimensional Algebraic Geometry”, NCTS, Taipei.
Workshop on singularities, Erdös Center, Budapest.
Workshop on non-archimedean methods, Les Diablerets, Switzerland.
Topology seminar, IMAR, Bucharest.
Conference on “Resonance varieties and moduli”, Humboldt Univ, Berlin.
Algebra and Geometry Seminar, KTH and Stockholm Univ.
DMV Annual Meeting, section Algebraic Geometry, FU Berlin.
Summer school on Motivic Integration, Düsseldorf.
Fifth International Workshop on Zeta Functions in Algebra and Geometry, Nice.
Conference on D-Modules and applications, CIRM, Luminy.
Algebraic Geometry Seminar, EPFL Lausanne.
Algebra and Number Theory Seminar, Univ. of Maryland.
Conference “Faces of Singularity Theory”, CIRM, Luminy.
JARCS, University of Tokyo.
Algebraic Geometry Seminar, University of Leipzig.
Algebraic Geometry Seminar, CUNY, New York.
Colloquium, Faculty of Mathematics, University of Vienna.
Séminaire Géométrie et Systèmes Dynamiques, IMB, Dijon.
Algebraic Geometry Seminar, Center for Applied Mathematics, Tianjin University.
Algebraic Geometry Seminar, BICMR, Peking University.
Conference “Birational Geometry and Hodge Theory”, CIRM, Luminy.
Conference “Foliations and Singularity Theory”, Vitória, Brazil.
Algebraic Geometry Seminar, University of Warwick.
Algebraic Geometry Seminar, Nanjing University.
Institute for Algebraic Geometry, Leibniz Universität Hannover.
Seminar on Arithmetic Geometry, Humboldt University, Berlin.
Algebra, Geometry, and Topology Seminar, Universidad Complutense Madrid.
Summer school “Mixed Hodge Modules in Birational Geometry”, Mainz.
Algebra and Geometry Seminar, Stockholm University.
Conference “Topology and Geometry” in memory of Ş. Papadima, IMAR, Bucharest.
Algebra and Algebraic Geometry Seminar, Univ. of Wisconsin, Madison.
Conference “Arrangements of Hypersurfaces”, Boston.
Conference “Singularities, toric geometry and differential equations”, TU Chemnitz.
“Geometry, Algebra & Combinatorics of Moduli Spaces & Configurations II”, Dobbiaco.
Algebraic Geometry Seminar, Johns Hopkins University, Baltimore.
Conference “D-modules and Singularities”, Sevilla.
Singularity Theory Conference, East China Normal University, Shanghai.
Conference in honor of M. Salvetti, Pisa.
Algebraic Geometry Seminar, KIAS, Seoul.
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04/2017
04/2017
02/2017
01/2017
01/2017
11/2016
10/2016
09/2016
09/2016
08/2016
05/2016
05/2016
04/2016
03/2016
02/2016
01/2016
11/2015
08/2015
02/2015
01/2015
01/2015

Algebraic Geometry Seminar, Yonsei University, Seoul.
Algebra and Algebraic Geometry Seminar, University of Turin.
Algebraic Geometry Seminar, University of Bergen.
Workshop “Monodromy conjecture and singularity theory”, Tuan Chau, Vietnam.
Algebraic Geometry Seminar, Vietnam Academy of Science and Technology, Hanoi.
Algebraic Geometry Seminar, Université de Lille.
Seminar, University of Padova.
Workshop on “Singularities”, Oberwolfach.
Algebraic Geometry Seminar, Ecole Normale Supérieure, Paris.
Conference on “Hyperplane Arrangements”, Sapporo.
Conference on “Nonisolated Singularities”, Lille.
Conference in honor of L. Ein, University of Illinois at Chicago.
Workshop “Higher geometric structures along the Lower Rhine VII”, Leuven.
Conference “Singularities and Topology”, Nice.
Geometry Seminar, University of Bath.
Lie Groups and Lie Algebras Seminar, University of Maryland.
Algebraic Geometry Seminar, University of Cambridge.
Conference on “Singularities”, Kaiserslautern.
CIRM Luminy, Thematic Month on Singularities.
Lie Groups and Lie Algebras Seminar, University of Maryland.
Colloquium, University of Maryland, College Park.

10. Publications

1. Nero Budur, “Multiplier ideals and Hodge Theory.” Ph.D. thesis, University of Illinois atChicago, 2003.
2. Nero Budur, “On Hodge spectrum and multiplier ideals”. Math. Ann. 327 (2003), 257-270.
3. Nero Budur, “Multiplier ideals and filtered D-modules”. math.AG/0305247. Unpublished.
4. Nero Budur, Marta Casanellas and Elisa Gorla, “Hilbert functions of irreducible arithmetically Gorenstein schemes”. J. Algebra 272 (2004), 292-310.
5. Nero Budur and Morihiko Saito, “Multiplier ideals, V-filtration, and spectrum”. J. Algebraic
Geom. 14 (2005), 269-282.
6. Nero Budur, “On the V-filtration of D-modules”, Geometric methods in algebra and numbertheory, Birkhäuser (2005) 59-70.
7. Nero Budur, Mircea Mustaţă and Morihiko Saito, “Bernstein-Sato polynomials of arbitraryvarieties”. Compositio Math. 142 (2006), 779-797.
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8. Nero Budur, Mircea Mustaţă and Morihiko Saito, “Roots of Bernstein-Sato polynomials formonomial ideals: a positive characteristic approach”. Math. Res. Lett. 13 (2006), 125-142.
9. Nero Budur, Mircea Mustaţă and Morihiko Saito, “Combinatorial description of the roots ofthe Bernstein-Sato polynomials for monomial ideals”. Comm. Algebra 34 (2006), 4103-4117.
10. Nero Budur, “Hodge spectrum of hyperplane arrangements”. arXiv: 0809.3443. Unpublished.
11. Nero Budur, “Unitary local systems, multiplier ideals, and polynomials periodicity of Hodgenumbers”. Adv. Math. 221 (2009), 217-250.
12. Nero Budur, “Jumping numbers of hyperplane arrangements”. Comm. Algebra 38 (2010),1122-1136.
13. Nero Budur and Morihiko Saito, “Jumping coefficients and spectrum of a hyperplane arrangement”. Math. Ann. 347 (2010), 545-579.
14. Nero Budur, Alexandru Dimca, and Morihiko Saito, “First Milnor cohomology of hyperplanearrangements”, Topology of Algebraic Varieties and Singularities, Contemp. Math. (2011),
279-292.
15. Nero Budur, Mircea Mustaţă, and Zach Teitler, “The Monodromy Conjecture for hyperplanearrangements”. Geom. Dedicata 153 (2011), 131-137.
16. Nero Budur, Morihiko Saito, and Sergey Yuzvinsky, “On the local zeta functions and bfunctions of certain hyperplane arrangements”. With an appendix by W. Veys. J. London
Math. Soc. 84 (2011), 631-648.
17. Nero Budur, “Complements and higher resonance varieties of hyperplane arrangements”.
Math. Res. Lett. 18 (2011), 859-873. “Eratum”. Math. Res. Lett. 21 (2014), 83-84.
18. Nero Budur, “Singularity invariants related to Milnor fibers: survey.” Contemp. Math. 566(2012), 161-187.
19. Nero Budur, Pedro G. González-Pérez, and Manuel González Villa, “Log canonical thresholds
of quasi-ordinary hypersurface singularities”. Proc. Amer. Math. Soc. 140 (2012), 40754083.
20. Markus Banagl, Nero Budur, and Laurenţiu Maxim, “Intersection spaces, perverse sheaves
and type IIB string theory”. Adv. Theor. Math. Phys. 18 (2014), 363-399.
21. Nero Budur, “Bernstein-Sato ideals and local systems”. Ann. Inst. Fourier 65 (2015), 549603.
22. Nero Budur and Botong Wang, “Cohomology jump loci of quasi-projective varieties”. Ann.
Sci. École Norm. Sup. 48 (2015), 227-236.

723. Nero Budur and Botong Wang, “Cohomology jump loci of differential graded Lie algebras”.
Compositio Math. 151 (2015), 1499-1528.
24. Nero Budur and Botong Wang, “The signed Euler characteristic of very affine varieties”. Int.
Math. Res. Notices. (2015), 5710-5714.
25. Nero Budur and Botong Wang, “Bounding the maximum likelihood degree”. Math. Res.
Lett. 22 (2015), 1613-1620.
26. Nero Budur, Botong Wang, and Youngho Yoon, “Rank one local systems and forms of degreeone”. Int. Math. Res. Notices. (2016), 3849-3855.
27. Nero Budur, “Cohomology jump loci”. Oberwolfach Reports 46 (2016), 58-60.
28. Nero Budur and Botong Wang, “Recent results on cohomology jump loci”. Hodge Theoryand L2 -analysis, Higher Ed. Press and Int. Press (2017), 205-241.
29. Nero Budur and Botong Wang, “Local systems on analytic germ complements”. Adv. Math.
306 (2017), 905-928.
30. Nero Budur, Yongqiang Liu, Luis Saumell, and Botong Wang, “Cohomology support loci oflocal systems”. Michigan Math. J. 66 (2017), 295-307.
31. Nero Budur, Yongqiang Liu, and Botong Wang, “The monodromy theorem for compactKähler manifolds and smooth quasi-projective varieties”. Math. Ann. 371 (2018), 1069-1086.
32. Nero Budur, Pietro Gatti, Yongqiang Liu, and Botong Wang, “On the length of perverse
sheaves and D-modules”. Bull. Math. Soc. Sci. Math. Roumanie, 62 (2019), 355-369.
33. Nero Budur and Ziyu Zhang, “Formality conjecture for K3 surfaces”. Compositio Math. 155(2019), 902-911.
34. Nero Budur and Marcel Rubió, “L-infinity pairs and applications to singularities”. Adv. Math354 (2019), 106754.
35. Nero Budur and Botong Wang, “Cohomology jump loci of quasi-compact Kähler manifolds”.
Pure Appl. Math. Q. 16 (2020), 981-999.
36. Nero Budur and Botong Wang, “Absolute sets and the Decomposition Theorem”. Ann. Sci.
Éc. Norm. Supér. 53 (2020), 469-536. “Correction”. Ann. Sci. Éc. Norm. Supér. 55(2022), 1473-1474.
37. Nero Budur and Michele Zordan, “On representation zeta functions of special linear groups”.
Int. Math. Res. Notices 3 (2020), 868-882. Erratum: arXiv:1706.05525v4.
38. Nero Budur and Yongqiang Liu, “Length of perverse sheaves on hyperplane arrangements”.
Eur. J. Math. 6 (2020), 681-712.
839. Nero Budur, “Rational singularities, quiver moment maps, and representations of surfacegroups”. Int. Math. Res. Notices 15 (2021), 11782-11817.
40. Nero Budur, Robin van der Veer, Lei Wu, and Peng Zhou, “Zero loci of Bernstein-Sato ideals”.
Invent. Math. 225 (2021), 45-72.
41. Nero Budur, Robin van der Veer, Lei Wu, and Peng Zhou, “Zero loci of Bernstein-Sato ideals- II”. Selecta Math. N.S. 27, 32 (2021).
42. Nero Budur, Javier Fernández de Bobadilla, Quy Thuong Lê, and Hong Duc Nguyen, “Cohomology of contact loci”. J. Differential Geom. 120 (2022), 389-409.
43. Nero Budur, Tran Quang Tue, “On contact loci of hyperplane arrangements”. Adv. in Appl.
Math. 132 (2022), 102271.
44. Nero Budur, Robin van der Veer, “Monodromy conjecture for log generic polynomials”. Math.
Z. 301 (2022), 713-737.
45. Nero Budur, Leonardo A. Lerer, Haopeng Wang, “Note on absolute sets of rigid local systems”. C. R. Math. Acad. Sci. Paris. 360 (2022), 467-474.
46. Nero Budur, Leonardo A. Lerer, Haopeng Wang, “Absolute sets of rigid local systems”. Ann.
Inst. Fourier. 73 (2023), 829-872.
47. Guillem Blanco, Nero Budur, Robin van der Veer, “Monodromy conjecture for semi-quasihomogeneous hypersurfaces”. Math. Nachr. 296 (2023), 1394-1403.
48. Nero Budur, Robin van der Veer, Alexander Van Werde, “Estimates for zero loci of BernsteinSato ideals”. Publ. Res. Inst. Math. Sci. 60 (2024), 1-22.
49. Nero Budur, Javier de la Bodega, Eduardo de Lorenzo Poza, Javier Fernández de Bobadilla,
Tomasz Pelka, “On the embedded Nash problem”. arXiv:2208.08546. To appear in Forum
Math. Pi.
50. Nero Budur, “Local structure of theta divisors and related loci of generic curves.” arXiv:2311.09250.
Submitted.
51. Nero Budur, An-Khuong Doan, “Deformations with cohomology constraints: a review.”
arXiv:2311.08052. Submitted.
52. Nero Budur, Robin van der Veer, Lei Wu, Peng Zhou, “Bernstein-Sato ideals.” arXiv:2408.13560.
Submitted.
Books edited :953. Nero Budur, Tommaso de Fernex, Roi Docampo, and Kevin Tucker (editors), Local andglobal methods in algebraic geometry. Conference in honor of Lawrence Ein’s 60th birthday,
University of Illinois at Chicago, IL, USA, May 12-15, 2016. Amer. Math. Soc. (2018), 355
pp.
Lecture notes :54. Nero Budur, “Multiplier ideals, Milnor fibers, and other singularity invariants.” Notes froma course at CIRM, Luminy, January 2011.
55. Nero Budur, “Bernstein-Sato polynomials and generalizations.” Notes from a course at theRolduc Abbey, Netherlands, 2013.
56. Nero Budur, “Applications of mixed Hodge modules: multiplier ideals”. Notes from a workshop on mixed Hodge modules at Oxford, 2013.
57. Nero Budur, “Bernstein-Sato polynomials.” Notes from a course at UPC, Barcelona, 2015.

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