Homepage of Eleonore Faber

I am a Professor at the University of Leeds . I am Co-I on the EPSRC programme grant Combinatorial Representation Theory: Discovering the Interfaces of Algebra with Geometry and Topology , 2022-2027. From August 2018-2020 I was a Marie Curie Fellow. I will be spending spring 2024 at MSRI/SLMath for the program Commutative Algebra .
Before coming to Leeds, I was a Post Doc Assistant Professor at the University of Michigan in Ann Arbor, working with Prof. Karen Smith . Even before, I was an FWF Erwin-Schroedinger fellow at the University of Toronto where my mentor was Prof. Ragnar-Olaf Buchweitz . During the spring semester 2015 I was a a post doctoral fellow at the Mittag-Leffler Institute (Stockholm, Sweden) for the Program Representation Theory and spring 2013 I spent as a research member at the MSRI in Berkeley for the Program Commutative Algebra . I graduated sub auspiciis praesidentis rei publicae in March 2012 from the University of Vienna , where my thesis advisor was Prof. Herwig Hauser.

Leeds Algebra Seminar
In 2022 I was the organizer of the Algebra Seminar at the University of Leeds.

Also check out the
FD seminar: Online seminar on representation theory of finite dimensional algebras
organized together with Gustavo Jasso (Bonn), Ryan Kinser (Iowa), Julian Külshammer (Uppsala), Rosanna Laking (Verona), Alexandra Zvonareva (Stuttgart)

I am the local Leeds organizer for the Glasgow-Liverpool-Edinburgh-Newcastle (GLEN) algebraic geometry seminar. The main organizer is Johan Martens .

Teaching
I will be teaching Math3071/5071M Groups and Symmetry/Groups and Symmetry and Galois Theory in semester 1.
For previous teaching see here .

Research interests
commutative algebra, (noncommutative) algebraic geometry, representation theory, singularity theory, homological algebra, cluster algebras

Curriculum Vitae

An extensive CV is here .

Papers

1. Cluster structures for the $A_{\infty}$ singularity (with J. August, M.-W. Cheung, S. Gratz, and S. Schroll), arXiv:2205.15344[math.RT] , to appear in J. London Math. Soc. (2) , 2023.
2. Categories for Grassmannian cluster algebras of infinite rank (with J. August, M.-W. Cheung, S. Gratz, and S. Schroll), arXiv:2007.14224[math.RT] , to appear in IMRN , 2023.
3. Classification of singularities of cluster algebras of finite type (with A. Benito, H. Mourtada, and B. Schober), Open access Journal version , Glasg. Math. J. , 65 (2023), no. 1, 170-204. Also see arXiv:2106.10290[math.AG]
4. McKay quivers and Lusztig algebras of some finite groups (with R.-O. Buchweitz, C. Ingalls, and M. Lewis), arXiv:2009.06674[math.RT] , Alg. Represent. Theory 26 (2023), no. 2, 433-469.
5. The magic square of reflections and rotations (with R.-O. Buchweitz and C. Ingalls), arXiv:1806.04600[math.GR] , to appear in Rocky Mountain J. Math. 2022.
6. Canonical resolutions over Koszul algebras (with M. Juhnke-Kubitzke, H. Lindo, C. Miller, R. R.G., and A. Seceleanu), arXiv:2011.12409[math.AC] , in Women in commutative algebra , 281-301, Assoc. Women Math. Ser., 29, Springer, Cham.
7. Friezes satisfying higher SL$_k$-determinants (with K. Baur, S. Gratz, K. Serhiyenko, and G. Todorov), arXiv:1810.10562[math.RA], Algebra Number Theory, 15 (2021), no. 1, 29-68.
8. A McKay correspondence for reflection groups (with R.-O. Buchweitz and C. Ingalls), arXiv:1709.04218[math.AG] , Duke Math. Journal , 169 (2020), no. 4, 599-669.(Here is a talk about this work at BIRS from 2016, and here and here from CMO Oaxaca, 2019 and 2015. Also see the extended abstract in Oberwolfach Reports: PDF)
9. Trace ideals, normalization chains, and endomorphism rings, Pure Appl. Math. Q. 16 (2021), no. 4, 1001-1025 . See arXiv:1901.04766[math.AC].
10. Non-commutative resolutions of toric varieties (with G. Muller and K.E. Smith), Adv. Math. 351 (2019), 236--274. See arXiv:1805.00492[math.AC] .
11. Conway--Coxeter friezes and mutation: a survey (with K. Baur, S. Gratz, K. Serhiyenko and G. Todorov), in Advances from the Mathematical Sciences - Research from the 2017 Association for Women Mathematics Symposium, Springer 2018. See arXiv:1806.06441[math.RA] .
12. Mutation of friezes (with K. Baur, S. Gratz, K. Serhiyenko and G. Todorov), Bull. Sci. Math. 142 (2018), 1--48. arXiv:1612.05374[math.RA] .
13. Noncommutative resolutions of discriminants (with R.-O. Buchweitz and C. Ingalls), In Representations of Algebras , volume 705 of Contemp. Math., pages 37-52. Amer. Math. Soc., Providence, RI, 2018. arXiv:1702.00791[math.AG] .
14. Computing global dimension of endomorphism rings via ladders (with B. Doherty and C. Ingalls), J. Algebra , 458 (2016), 307-350. arXiv:1508.06287[math.RT]
15. Chern classes of splayed intersections (with P. Aluffi), Canadian J. Math 67 (2015), 1201--1218. arXiv:1406.1182[math.AG]
16. Noncommutative desingularizations and the global spectrum of commutative rings (with H. Dao and C. Ingalls), Alg. Represent. Theory 18 (2015), no. 3, 633--664. Journal link or arXiv:1401.3000[math.AC]
17. Characterizing normal crossing hypersurfaces, Math. Ann. 361 (2015), no. 3-4, 995--1020. Journal link or arXiv:1201.6276[math.AG] or PDF
18. Splayed divisors and their Chern classes (with P. Aluffi), J. London Math. Soc. (2) 88 (2013), 563--579, arXiv:1207.4202[math.AG] or Journal link
19. Measuring singularities with Frobenius: the basics (with A. Benito and K.E. Smith), in Commutative Algebra: Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday Springer 2013, 57--97, see PDF
20. Towards transversality of singular varieties: splayed divisors, Publ. RIMS 49 (2013), 393--412, arXiv:1201.2186[math.AG] or PDF
21. Blowups in tame monomial ideals (with D.B. Westra), J. Pure and Applied Algebra 215 (2011),1805--1821. See arXiv:0905.4511[math.AG]
22. Today's Menu: Geometry and Resolution of Singular Algebraic Surfaces (with H. Hauser), Bull. Amer. Math. Soc. 47 (2010),373--417. See PDF

• Reduction of Frobenius extriangulated categories (with B.R. Marsh, M. Pressland), arXiv:2308.16232[math.RT].
• Matrix Factorizations of the discriminant of $S_n$ (with C. Ingalls, S. May, M. Talarico), arXiv:2209.03375[math.AC], submitted.
• On stacky surfaces and noncommutative surfaces (with C. Ingalls, S. Okawa, M. Satriano), arXiv:2206.13359[math.AG] , submitted.

• Normal crossings in local analytic geometry, PhD thesis, Universität Wien, 2011. (Advisor: V.-Prof. Dr. Herwig Hauser) PDF (A5 booklet version)
• Torische Varietäten, Explosionen und das Newtonpolyeder, Diploma thesis, Leopold-Franzens-Universität Innsbruck, 2007. (Advisor: Ao.- Univ.-Prof. Dr. Herwig Hauser) PDF

Conference organization

Past:

• Combinatorial representation theory in Leeds. , July 10-14, 2023, at University of Leeds. Organizers: Özgür Esentepe, Eleonore Faber, Francesca Fedele, Alison Parker.
• Resolutions in local algebra and singularity theory , February 5-11, 2023, at Mathematisches Forschungszentrum Oberwolfach, Germany. Organizers: Aldo Conca, Steven Dale Cutkosky, Eleonore Faber, Srikanth Iyengar.
• Representation theory and triangulated categories. Conference in honour of Henning Krause. September 26-30, 2022, at Universität Bielefeld, Germany. Organizers: Dave Benson, Bill Crawley-Boevey, Eleonore Faber, Lutz Hille, Srikanth Iyengar, Janina Letz, Marc Stephan.
• Bridges between representation theory and algebraic geometry: Singularities, friezes, and cluster categories. , May 24-27, 2022, at University of Leeds. Organizers: Karin Baur, Eleonore Faber, Matt Pressland.
• A conference in celebration of the 60th Birthday of Bill Crawley-Boevey. , September 6-10, 2021, online, originally planned to be at University of Manchester, UK. Organizers: Karin Baur, Eleonore Faber, Henning Krause, Mike Prest, Jan Trlifaj, Michael Wemyss, Dan Zacharia.
• Singularities in positive characteristic , July 12-16, 2021, at CIRM (hybrid conference), Luminy, France. Organizers: Angelica Benito, Eleonore Faber, Bernd Schober, Bernard Teissier.
• RRAGE: Ragnar's Ramifications in Algebra and Geometry Emerging (A conference to celebrate the work of Ragnar-Olaf Buchweitz), July 8-12, 2019 at the Fields Institute, Toronto. Organizers: Eleonore Faber, Marco Gualtieri, Colin Ingalls.
• WINART2-Women In Noncommutative Algebra and Representation Theory May 20-24, 2019, at University of Leeds. Organizers: Karin Baur, Georgia Benkart, Eleonore Faber, Ellen Kirkman, Chelsea Walton.
• Interactions between Commutative Algebra, Representation Theory, and Algebraic Geometry: a conference in memoriam Ragnar-Olaf Buchweitz March 19-23, 2019, at Universität Münster, Germany. Organizers: Eleonore Faber, Lutz Hille, Jörg Schürmann.
• Special session "Commutative algebra and algebraic geometry" at CSASC2018 September 11-14, 2018, Bratislava, Slovakia. Organizers: Alberto Fernando Boix, Eleonore Faber.
• Workshop "Geometric algebra: bridges between commutative algebra, noncommutative geometry and representation theory" July 6-10, 2015 at the Fields Institute, Toronto. Organizers: Jason Bell, Ragnar-Olaf Buchweitz, Eleonore Faber, Colin Ingalls. Videos from the talks can be viewed here .

Other stuff
Free divisor gallery
ADE surface gallery

Snapshot from Oberwolfach (with R.-O. Buchweitz): Swallowtail on the shore