# Homepage of Eleonore Faber

I am a Marie Curie Fellow and a University Academic Fellow (UAF) at the University of Leeds . See HERE for a description of my Marie Curie project SINGREP.
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 2019-20 I am the organizer of the Algebra Seminar at the University of Leeds.

Teaching
I will be teaching Math3195/Math5195M in semester 2. See course webpage .
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. A McKay correspondence for reflection groups (with R.-O. Buchweitz and C. Ingalls), arXiv:1709.04218[math.AG] , accepted for publication in Duke Math. Journal, 2019. (Here is a talk about this work at BIRS from 2016, and here from CMO Oaxaca, 2015. Also see the extended abstract in Oberwolfach Reports: PDF)
2. Trace ideals, normalization chains, and endomorphism rings, to appear in PAMQ. See arXiv:1901.04766[math.AC].
3. 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] .
4. 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] .
5. 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] .
6. 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] .
7. 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]
8. Chern classes of splayed intersections (with P. Aluffi), Canadian J. Math 67 (2015), 1201--1218. arXiv:1406.1182[math.AG]
9. 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]
10. Characterizing normal crossing hypersurfaces, Math. Ann. 361 (2015), no. 3-4, 995--1020. Journal link or arXiv:1201.6276[math.AG] or PDF
11. 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
12. 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
13. Towards transversality of singular varieties: splayed divisors, Publ. RIMS 49 (2013), 393--412, arXiv:1201.2186[math.AG] or PDF
14. Blowups in tame monomial ideals (with D.B. Westra), J. Pure and Applied Algebra 215 (2011),1805--1821. See arXiv:0905.4511[math.AG]
15. Today's Menu: Geometry and Resolution of Singular Algebraic Surfaces (with H. Hauser), Bull. Amer. Math. Soc. 47 (2010),373--417. See PDF
Preprints
• Friezes satisfying higher SL$_k$-determinants (with K. Baur, S. Gratz, K. Serhiyenko, and G. Todorov), arXiv:1810.10562[math.RA], submitted.
• The magic square of reflections and rotations (with R.-O. Buchweitz and C. Ingalls), arXiv:1806.04600[math.GR] , 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, Leopold-Franzens-Universität Innsbruck, 2007. (Advisor: Ao.- Univ.-Prof. Dr. Herwig Hauser) PDF

Conference organization

Other stuff
Free divisor gallery

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

Contact information
Email: E.M.Faber at leeds.ac.uk