Homepage of Eleonore Faber
I am an Associate Professor at the University of Leeds . I am CoI on the EPSRC programme grant Combinatorial Representation Theory: Discovering the Interfaces of Algebra with Geometry and Topology , 20222027. From August 20182020 I was a Marie Curie Fellow.
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 ErwinSchroedinger fellow at the University of Toronto where my mentor was Prof. RagnarOlaf Buchweitz .
During the spring semester 2015 I was a a post doctoral fellow at the MittagLeffler 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 am 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 GlasgowLiverpoolEdinburghNewcastle (GLEN) algebraic geometry seminar. The main organizer is Johan Martens .
Teaching
I will be teaching Math3195/5195M (Advanced) Commutative Rings and Algebraic Geometry and MAGIC074: Algebraic geometry in semester 2.
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
 Classification of singularities of cluster algebras of finite type (with A. Benito, H. Mourtada, and B. Schober), to appear in Glasg. Math. J. 2022. Open access Journal version . Also see arXiv:2106.10290[math.AG]
 McKay quivers and Lusztig algebras of some finite groups (with R.O. Buchweitz, C. Ingalls, and M. Lewis), arXiv:2009.06674[math.RT] , to appear in Alg. Represent. Theory 2022.
 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.
 Canonical resolutions over Koszul algebras (with M. JuhnkeKubitzke, H. Lindo, C. Miller, R. R.G., and A. Seceleanu), arXiv:2011.12409[math.AC] , to appear in the Springer volume "Women in Commutative AlgebraProceedings of the 2019 WICA Workshop".
 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, 2968.
 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, 599669.(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)
 Trace ideals, normalization chains, and endomorphism rings, Pure Appl. Math. Q. 16 (2021), no. 4, 10011025 . See arXiv:1901.04766[math.AC].
 Noncommutative resolutions of toric varieties (with G. Muller and K.E. Smith), Adv. Math. 351 (2019), 236274. See arXiv:1805.00492[math.AC] .
 ConwayCoxeter 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] .
 Mutation of friezes (with K. Baur, S. Gratz, K. Serhiyenko and G. Todorov), Bull. Sci. Math. 142 (2018), 148. arXiv:1612.05374[math.RA] .
 Noncommutative resolutions of discriminants (with R.O. Buchweitz and C. Ingalls), In Representations of Algebras , volume 705 of Contemp. Math., pages 3752. Amer. Math. Soc., Providence, RI, 2018. arXiv:1702.00791[math.AG] .
 Computing global dimension of endomorphism rings via ladders (with B. Doherty and C. Ingalls), J. Algebra , 458 (2016), 307350. arXiv:1508.06287[math.RT]
 Chern classes of splayed intersections (with P. Aluffi), Canadian J. Math 67 (2015), 12011218. arXiv:1406.1182[math.AG]
 Noncommutative desingularizations and the global spectrum of commutative rings (with H. Dao and C. Ingalls), Alg. Represent. Theory 18 (2015), no. 3, 633664. Journal link or arXiv:1401.3000[math.AC]
 Characterizing normal crossing hypersurfaces, Math. Ann. 361 (2015), no. 34, 9951020. Journal link or arXiv:1201.6276[math.AG] or PDF
 Splayed divisors and their Chern classes (with P. Aluffi), J. London Math. Soc. (2) 88 (2013), 563579, arXiv:1207.4202[math.AG] or Journal link
 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, 5797, see PDF
 Towards transversality of singular varieties: splayed divisors, Publ. RIMS 49 (2013), 393412, arXiv:1201.2186[math.AG] or PDF
 Blowups in tame monomial ideals (with D.B. Westra), J. Pure and Applied Algebra 215 (2011),18051821. See arXiv:0905.4511[math.AG]
 Today's Menu: Geometry and Resolution of Singular Algebraic Surfaces (with H. Hauser), Bull. Amer. Math. Soc. 47 (2010),373417. See PDF
Preprints
 Matrix Factorizations of the discriminant of $S_n$ (with C. Ingalls, S. May, M. Talarico), arXiv:2209.03375[math.AC].
 On stacky surfaces and noncommutative surfaces (with C. Ingalls, S. Okawa, M. Satriano), arXiv:2206.13359[math.AG] , submitted.
 Cluster structures for the $A_{\infty}$ singularity (with J. August, M.W. Cheung, S. Gratz, and S. Schroll), arXiv:2205.15344[math.RT] , submitted.
 Grassmannian category of infinite rank (with J. August, M.W. Cheung, S. Gratz, and S. Schroll), arXiv:2007.14224[math.RT] , submitted.
Theses
 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, LeopoldFranzensUniversität Innsbruck, 2007. (Advisor: Ao. Univ.Prof. Dr. Herwig Hauser) PDF
Conference organization
 Resolutions in local algebra and singularity theory , February 511, 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 2630, 2022, at Universität Bielefeld, Germany. Organizers: Dave Benson, Bill CrawleyBoevey, Eleonore Faber, Lutz Hille, Srikanth Iyengar, Janina Letz, Marc Stephan.
Past:
 Bridges between representation theory and algebraic geometry: Singularities, friezes, and cluster categories. , May 2427, 2022, at University of Leeds. Organizers: Karin Baur, Eleonore Faber, Matt Pressland.
 A conference in celebration of the 60th Birthday of Bill CrawleyBoevey. , September 610, 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 1216, 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 RagnarOlaf Buchweitz), July 812, 2019 at the Fields Institute, Toronto. Organizers: Eleonore Faber, Marco Gualtieri, Colin Ingalls.
 WINART2Women In Noncommutative Algebra and Representation Theory May 2024, 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 RagnarOlaf Buchweitz March 1923, 2019, at Universität Münster, Germany. Organizers: Eleonore Faber, Lutz Hille, Jörg Schürmann.
 Special session "Commutative algebra and algebraic geometry" at CSASC2018 September 1114, 2018, Bratislava, Slovakia. Organizers: Alberto Fernando Boix, Eleonore Faber.
 Workshop "Geometric algebra: bridges between commutative algebra, noncommutative geometry and representation theory" July 610, 2015 at the Fields Institute, Toronto. Organizers: Jason Bell, RagnarOlaf 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
Contact information

Email: E.M.Faber at leeds.ac.uk 
Mailing Address:
Eleonore Faber
School of Mathematics,
University of Leeds,
Leeds, LS2 9JT, UK
Room: Mathematics 8.05
Work Phone: +44 113 343 5185
