** Papers **

- Matrix Factorizations of the discriminant of $S_n$ (with C. Ingalls, S. May, M. Talarico),
**J. Symbolic Comput.**, (2024), 125, Paper No. 102310, 27pp arXiv:2209.03375[math.AC] - On stacky surfaces and noncommutative surfaces (with C. Ingalls, S. Okawa, M. Satriano), to appear in
**TAMS**. arXiv:2206.13359[math.AG] . - Categories for Grassmannian cluster algebras of infinite rank (with J. August, M.-W. Cheung, S. Gratz, and S. Schroll),
**IMRN**, (2024), no. 2, 1166-1210. arXiv:2007.14224[math.RT] - Cluster structures for the $A_{\infty}$ singularity (with J. August, M.-W. Cheung, S. Gratz, and S. Schroll),
**J. London Math. Soc. (2)**, (2023), no. 6, 2121-2149. arXiv:2205.15344[math.RT] - 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] - McKay quivers and Lusztig algebras of some finite groups (with R.-O. Buchweitz, C. Ingalls, and M. Lewis),
**Alg. Represent. Theory****26**(2023), no. 2, 433-469. arXiv:2009.06674[math.RT] - The magic square of reflections and rotations (with R.-O. Buchweitz and C. Ingalls), arXiv:1806.04600[math.GR] ,
**Rocky Mountain J. Math.****53**(2023), no. 6, 1721-1747. - 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. - 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. - 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) - Trace ideals, normalization chains, and endomorphism rings,
**Pure Appl. Math. Q.****16**(2021), no. 4, 1001-1025 . See arXiv:1901.04766[math.AC]. - 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] . - 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] .
- 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] . - 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] .
- 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] - Chern classes of splayed intersections (with P. Aluffi),
**Canadian J. Math****67**(2015), 1201--1218. 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, 633--664. Journal link or arXiv:1401.3000[math.AC] - Characterizing normal crossing hypersurfaces,
**Math. Ann.****361**(2015), no. 3-4, 995--1020. 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), 563--579, 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, 57--97, see PDF
- Towards transversality of singular varieties: splayed divisors,
**Publ. RIMS****49**(2013), 393--412, arXiv:1201.2186[math.AG] or PDF - Blowups in tame monomial ideals (with D.B. Westra),
**J. Pure and Applied Algebra****215**(2011),1805--1821. 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),373--417. See PDF

- Classification of singularities of cluster algebras of finite type II: coefficients. (with A. Benito, H. Mourtada, and B. Schober), arXiv:2401.06758[math.AG], submitted.
- Reduction of Frobenius extriangulated categories (with B.R. Marsh, M. Pressland), arXiv:2308.16232[math.RT], 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

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