Prof. Dr. Andrew Kresch

Forschung

Publikationen

Andrew Kresch, Yuri Tschinkel. Equivariant unirationality of toric varieties. Preprint [pdf]

Andrew Kresch, Sho Tanimoto, Yuri Tschinkel. Intermediate Jacobians and Burnside invariants. J. Math. Soc. Japan, to appear [pdf]

Andrew Kresch, Yuri Tschinkel. Birational geometry of Deligne-Mumford stacks. Ann. Sc. Norm. Super. Pisa Cl. Sci., to appear [pdf]

Andrew Kresch, Siddharth Mathur. Formal GAGA for gerbes. J. Reine Angew. Math., to appear [pdf]

Andrew Kresch, Yuri Tschinkel. Cohomology of finite subgroups of the plane Cremona group. Algebraic Geom. and Physics, to appear [pdf]

Andrew Kresch, Yuri Tschinkel (2025). Equivariant Burnside groups: structure and operations. Taiwanese J. Math. 29 (2025), 1507-1529 [pdf]

Andrew Kresch, Yuri Tschinkel (2025). Burnside groups and orbifold invariants of birational maps. in Perspectives on Four Decades of Algebraic Geometry, Vol. 2, Progr. Math. 352, Birkhäuser, Cham, 2025, pp. 433-446 [pdf]

Andrew Kresch, Yuri Tschinkel (2025). Unramified Brauer group of quotient spaces by finite groups. J. Algebra 664 (2025), 75-100 [pdf]

Andrew Kresch, Yuri Tschinkel (2023). Equivariant Burnside groups and toric varieties. Rend. Circ. Mat. Palermo 72 (2023), 3013-3039 [pdf]

Brendan Hassett, Andrew Kresch, Yuri Tschinkel (2023). Stable rationality in smooth families of threefolds. Duke Math. J. 172 (2023), 1145-1172 [pdf]

Andrew Kresch, Yuri Tschinkel (2022). Fibrations in sextic del Pezzo surfaces with mild singularities. Rend. Semin. Mat. Univ. Padova 148 (2022), 65-82 [pdf]

Andrew Kresch, Yuri Tschinkel (2022). Equivariant Burnside groups and representation theory. Selecta Math. 28 (2022), Article No. 81 [pdf]

Andrew Kresch, Yuri Tschinkel (2022). Equivariant birational types and Burnside volume. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 23 (2022), 1013-1052 [pdf]

Brendan Hassett, Andrew Kresch, Yuri Tschinkel (2021). Symbols and equivariant birational geometry in small dimensions. in Rationality of Varieties, Progr. Math. 342, Birkhäuser, Cham, 2021, pp. 201-236 [pdf]

Andrew Kresch, Yuri Tschinkel (2021). Brauer groups of involution surface bundles. Pure Appl. Math. Q. 17 (2021), 649-669 [pdf]

Andrew Kresch, Yuri Tschinkel (2021). Birational types of algebraic orbifolds. Mat. Sb. 212:3 (2021), 54-67 [pdf]

Andrew Kresch, Yuri Tschinkel (2021). Arithmetic properties of equivariant birational types. Res. Number Theory 7 (2021), Article No. 27 [pdf]

Andrew Kresch (2020). Descent of vector bundles under wildly ramified extensions. Eur. J. Math. 6 (2020), 1255-1263 [pdf]

Andrew Kresch, Yuri Tschinkel (2020). Involution surface bundles over surfaces. Math. Zeitschrift 296 (2020), 1081-1100 [pdf]

Andrew Kresch, Yuri Tschinkel (2020). Stable rationality of Brauer-Severi surface bundles. Manuscripta Math. 161 (2020), 1-14 [pdf]

Andrew Kresch, Yuri Tschinkel (2019). Models of Brauer-Severi surface bundles. Moscow Math. J. 19 (2019), 549-595 [pdf]

Andrew Kresch, Yuri Tschinkel (2019). Models of triple covers. Mat. Zametki 105 (2019), 798-800 [pdf]

Andrew Kresch (2018). Destackification with restricted root operations. Eur. J. Math. 4 (2018), 1421-1432 [pdf]

Andrew Kresch (2018). On the spaces generated by vectors with coordinates in incomplete residue systems. Res. Math. Sci. 5 (2018), Article No. 36 [pdf]

Anders S. Buch, Andrew Kresch, Harry Tamvakis. A Giambelli formula for isotropic Grassmannians. Selecta Math. 23 (2017), 869-914 [pdf]

Jarod Alper, Andrew Kresch (2016). Equivariant versal deformations of semistable curves. Michigan Math. J. 65 (2016), 227-250 [pdf]

Brendan Hassett, Andrew Kresch, Yuri Tschinkel (2016). Stable rationality and conic bundles. Math. Ann. 365 (2016), 1201-1217 [pdf]

Anders S. Buch, Andrew Kresch, Kevin Purbhoo, Harry Tamvakis (2016). The puzzle conjecture for the cohomology of two-step flag manifolds. J. Algebraic Combin. 44 (2016), 973-1007 [pdf]

Brendan Hassett, Andrew Kresch, Yuri Tschinkel (2016). On the moduli of degree 4 Del Pezzo surfaces. in Development of Moduli Theory (Kyoto 2013), Adv. Stud. Pure Math. 69, Math. Soc. Japan, Tokyo, 2016, pp. 349-386 [pdf]

Anders S. Buch, Andrew Kresch, Harry Tamvakis (2015). A Giambelli formula for even orthogonal Grassmannians. J. Reine Angew. Math. 708 (2015), 17-48 [pdf]

Bumsig Kim, Andrew Kresch, Yong-Geun Oh (2014). A compactification of the space of maps from curves. Trans. Amer. Math. Soc. 366 (2014), 51-74 [pdf]

Brendan Hassett, Andrew Kresch, Yuri Tschinkel (2013). Effective computation of Picard groups and Brauer-Manin obstructions of degree two K3 surfaces over number fields. Rend. Circ. Mat. Palermo 62 (2013), 137-151 [pdf]

Andrew Kresch (2013). Flattening stratification and the stack of partial stabilizations of prestable curves. Bull. London Math. Soc. 45 (2013), 93-102 [pdf]

Anders S. Buch, Andrew Kresch, Harry Tamvakis (2012). Quantum Giambelli formulas for isotropic Grassmannians. Math. Ann. 354 (2012), 801-812 [pdf]

Andrew Kresch, Yuri Tschinkel (2011). Effectivity of Brauer-Manin obstructions on surfaces. Adv. Math. 226 (2011), 4131-4144 [pdf]

Andrew Kresch (2010). CW complexes for complex algebraic surfaces. Experiment. Math. 19 (2010), 413-419 [pdf]

Anders S. Buch, Andrew Kresch, Harry Tamvakis (2009). Quantum Pieri rules for isotropic Grassmannians. Invent. Math. 178 (2009), 345-405 [pdf]

Andrew Kresch (2009). On the geometry of Deligne-Mumford stacks. in Algebraic Geometry (Seattle, 2005), Proc. Sympos. Pure Math. 80, Part 1, Amer. Math. Soc., Providence, RI, 2009, pp. 259-271 [pdf]

Andrew Kresch, Yuri Tschinkel (2008). Two examples of Brauer-Manin obstruction to integral points. Bull. London Math. Soc. 40 (2008), 995-1001. [pdf]

Andrew Kresch, Yuri Tschinkel (2008). Effectivity of Brauer-Manin obstructions. Adv. Math. 218 (2008), 1-27 [pdf]

Anders S. Buch, Andrew Kresch, Mark Shimozono, Harry Tamvakis, Alex Yong (2008). Stable Grothendieck polynomials and K-theoretic factor sequences. Math. Ann. 340 (2008), 359-382 [pdf]

Andrew Kresch (2007). Flag varieties and Schubert calculus. in Algebraic Groups (Proc. Summer School, Göttingen, 2005), Universitätsverlag Göttingen, Göttingen, 2007, pp. 73-86. [pdf]

Anders S. Buch, Andrew Kresch, Harry Tamvakis, Alex Yong (2005). Grothendieck polynomials and quiver formulas. Amer. J. Math. 127 (2005), 551-567 [pdf]

Andrew Kresch, Yuri Tschinkel (2004). On the arithmetic of del Pezzo surfaces of degree 2. Proc. London Math. Soc. (3) 89 (2004), 545-569 [pdf]

Anders S. Buch, Andrew Kresch, Harry Tamvakis (2004). Littlewood-Richardson rules for Grassmannians. Adv. Math. 185 (2004), 80-90 [pdf]

Noam D. Elkies, Everett W. Howe, Andrew Kresch, Bjorn Poonen, Joseph L. Wetherell, Michael E. Zieve (2004). Curves of every genus with many points, II: Asymptotically good families. Duke Math. J. 122 (2004), 399-422 [pdf]

Anders S. Buch, Andrew Kresch, Harry Tamvakis, Alex Yong (2004). Schubert polynomials and quiver formulas. Duke Math. J. 122 (2004), 125-143 [pdf]

Andrew Kresch, Angelo Vistoli (2004). On coverings of Deligne-Mumford stacks and surjectivity of the Brauer map. Bull. London Math. Soc. 36 (2004), 188-192 [pdf]

Andrew Kresch, Harry Tamvakis (2004). Quantum cohomology of orthogonal Grassmannians. Compositio Math. 140 (2004), 482-500 [pdf]

Anders S. Buch, Andrew Kresch, Harry Tamvakis (2003). Gromov-Witten invariants on Grassmannians. J. Amer. Math. Soc. 16 (2003), 901-915 [pdf]

Andrew Kresch, Harry Tamvakis (2003). Quantum cohomology of the Lagrangian Grassmannian. J. Algebraic Geom. 12 (2003), 777-810 [pdf]

Bumsig Kim, Andrew Kresch, Tony Pantev (2003). Functoriality in intersection theory and a conjecture of Cox, Katz, and Lee. J. Pure Appl. Algebra 179 (2003), 127-136 [pdf]

Andrew Kresch (2003). Hodge-theoretic obstruction to the existence of quaternion algebras. Bull. London Math. Soc. 35 (2003), 109-116 [pdf]

Andrew Kresch, Yuri Tschinkel (2002). Integral points on punctured abelian surfaces. in Algorithmic Number Theory ANTS-V (Sydney, 2002), Lect. Notes in Comput. Sci. 2369, Springer-Verlag, Berlin, 2002, pp. 198-204 [pdf]

Andrew Kresch, Harry Tamvakis (2002). Double Schubert polynomials and degeneracy loci for the classical groups. Ann. Inst. Fourier (Grenoble) 52 (2002), 1681-1727 [pdf]

Andrew Kresch, Joseph L. Wetherell, Michael E. Zieve (2002). Curves of every genus with many points, I: Abelian and toric families. J. Algebra 250 (2002), 353-370 [pdf]

Andrew Kresch, Harry Tamvakis (2001). Standard conjectures for the arithmetic Grassmannian G(2,N) and Racah polynomials. Duke Math J. 110 (2001), 359-376 [pdf]

Dan Edidin, Brendan Hassett, Andrew Kresch, Angelo Vistoli (2001). Brauer groups and quotient stacks. Amer. J. Math. 123 (2001), 761-777 [pdf]

Andrew Kresch (2000). Gromov-Witten invariants of a class of toric varieties. Michigan Math. J. 48 (2000), 369-391 [pdf]

Andrew Kresch (1999). Cycle groups for Artin stacks. Invent. Math. 138 (1999), 495-536 [pdf]

Andrew Kresch (1999). Canonical rational equivalence of intersections of divisors. Invent. Math. 136 (1999), 483-496 [pdf]

Andrew Kresch (1999). Associativity relations in quantum cohomology. Adv. Math. 142 (1999), 151-169 [pdf]