EXC 59:  Mathematics: Foundations, Models, Applications

• Subject Area: Mathematics ; Computer Science ; Economics
• Term: from 2006 to 2018
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 24102279

• Final Report Year: 2019

Final Report Abstract

The Hausdorff Center for Mathematics (HCM) has used the unique opportunities provided by the Excellence Initiative to establish a sustainable world-class center for cutting-edge mathematical research in Germany, on a par with the mathematics departments of top universities in Europe and in the US. HCM fosters fundamental research in mathematics and responds to the demands of science and society with mathematical insights and tools. Particular foci of research conducted by HCM included: - arithmetic algebraic geometry, - representation theory and topology, - geometry, metric-measure spaces, and optimal transport, - singular stochastic partial differential equations and harmonic analysis, - mathematical models of materials and virtual material design, - mathematical models in immunology, - mechanism design and game theory, - imaging and geometry processing, algorithms, complexity, and combinatorial optimization. HCM strengthened its team of internationally outstanding scientists by strategic hirings from Berkeley, Oxford, Paris, and Los Angeles, and retained its faculty against highly competitive offers from Chicago, Harvard, MIT, Northwestern, Oxford, Princeton, and Yale. Researchers at HCM were recognized with high honors (e.g., Fields Medal, 4 Leibniz Prizes, 5 ERC Advanced Grants). The Hausdorff Research Institute for Mathematics, founded in 2006 as part of the HCM, has become a leading institute for thematic programs in mathematics. HCM established internationally visible recruiting and training programs - with particular emphasis on early independence, gender balance, and internationalization - that provide entry points for outstanding young researchers from all over the world into the German university system. The Bonn International Graduate School of Mathematics was established as a common entry point for doctoral students; the GlobalMathNetwork facilitates the international exchange of doctoral researchers within a network with some of the best research centers and graduate schools in mathematics across the globe. The Hausdorff School for Advanced Studies in Mathematics has set up an innovative training program - unparalleled so far - for postdoctoral researchers based in Germany and worldwide. The Bonn Junior Fellows program offers temporary W2 professor positions to excellent early-career Researchers.

Link to the final report

https://dx.doi.org/10.2314/GBV:1697242545

Publications

• The stable homotopy category is rigid. Ann. of Math. (2), 166(3):837–863, 2007
  S. Schwede
  (See online at https://doi.org/10.4007/annals.2007.166.837)
• Triangulated categories without models. Invent. Math., 170(2):231–241, 2007
  F. Muro, S. Schwede, and N. Strickland
  (See online at https://doi.org/10.1007/s00222-007-0061-2)
• Approximation algorithms for a facility location problem with service capacities. ACM Transactions of Algorithms, 4, 2008. Article 50
  J. Maßberg and J. Vygen
  (See online at https://doi.org/10.1145/1383369.1383381)
• Carleman estimates and unique continuation for second order parabolic equations with nonsmooth coefficients. Comm. Partial Differential Equations, 34(4-6):305–366, 2009
  H. Koch and D. Tataru
  (See online at https://doi.org/10.1080/03605300902740395)
• Derived equivalences of K3 surfaces and orientation. Duke Math. J., 149(3):461–507, 2009
  D. Huybrechts, E. Macrì and P. Stellari
  (See online at https://doi.org/10.1215/00127094-2009-043)
• Energy barriers and hysteresis in martensitic phase transformations. Acta Mater., 57:4332–4352, 2009
  Z. Zhang, R. D. James, and S. Müller
  (See online at https://doi.org/10.1016/j.actamat.2009.05.034)
• Entropic measure and Wasserstein diffusion. Ann. Prob., 37(3):1114–1191, 2009
  M.-K. von Renesse and K.-T. Sturm
  (See online at https://doi.org/10.1214/08-AOP430)
• Geometry of the mapping class groups. I. Boundary amenability. Invent. Math., 175(3):545–609, 2009
  U. Hamenstädt
  (See online at https://doi.org/10.1007/s00222-008-0158-2)
• Invariant Radon measures on measured lamination space. Invent. Math., 176(2):223–273, 2009
  U. Hamenstädt
  (See online at https://doi.org/10.1007/s00222-008-0163-5)
• Optimized general sparse grid approximation spaces for operator equations. Mathematics of Computations, 78(268):2223–2257, 2009
  M. Griebel and S. Knapek
  (See online at https://doi.org/10.1090/S0025-5718-09-02248-0)
• Smoothing splines estimators for functional linear regression. Annals of Statistics, 37:35–72, 2009
  C. Crambes, A. Kneip, and P. Sarda
  (See online at https://doi.org/10.1214/07-AOS563)
• Spectral asymptotics for arithmetic quotients of SL(n, R)/SO(n). Duke Math. J., 149(1):117–155, 2009
  E. Lapid and W. Müller
  (See online at https://doi.org/10.1215/00127094-2009-037)
• The theory of assortative matching based on costly signals. Review of Economic Studies, 76(1):253–281, 2009
  H. Hoppe, B. Moldovanu, and A. Sela
  (See online at https://doi.org/10.1111/j.1467-937X.2008.00517.x)
• Uniform energy distribution for an isoperimetric problem with long-range interactions. J. Amer. Math. Soc., 22(2):569–605, 2009
  G. Alberti, R. Choksi, and F. Otto
  (See online at https://doi.org/10.1090/S0894-0347-08-00622-X)
• Coverings of p-adic period domains. J. Reine Angew. Math., 643:111–139, 2010
  G. Faltings
  (See online at https://doi.org/10.1515/CRELLE.2010.046)
• Homogeneous nucleation for Glauber and Kawasaki dynamics in large volumes at low temperatures. Ann. Probab., 38(2):661–713, 2010
  A. Bovier, F. den Hollander, and C. Spitoni
  (See online at https://doi.org/10.1214/09-AOP492)
• Incentive problems with hidden characteristics: A unified approach. Econometrica, 78(4):1201–1237, 2010
  M. Hellwig
  (See online at https://doi.org/10.3982/ECTA7726)
• Limit process of stationary TASEP near the characteristic line. Comm. Pure Appl. Math. 63(8):1017–1070, 2010
  J. Baik, P. Ferrari, and S. Péché
  (See online at https://doi.org/10.1002/cpa.20316)
• Noether-Lefschetz theory and the Yau-Zaslow conjecture. J. Amer. Math. Soc., 23(4):1013–1040, 2010
  A. Klemm, D. Maulik, R. Pandharipande, and E. Scheidegger
  (See online at https://doi.org/10.1090/S0894-0347-2010-00672-8)
• On admissibility criteria for weak solutions of the Euler equations. Arch. Ration. Mech. Anal. 195(1):225–260, 2010
  C. De Lellis and L. Székelyhidi, Jr.
  (See online at https://doi.org/10.1007/s00205-008-0201-x)
• A continuum mechanical approach to geodesics in shape space. Int. J. Comput. Vis., 93:293–318, 2011
  B. Wirth, L. Bar, M. Rumpf, and G. Sapiro
  (See online at https://doi.org/10.1007/s11263-010-0416-9)
• Combinatorial optimization in VLSI design. In: ”Combinatorial Optimization: Methods and Applications” (V. Chvátal, ed.), IOS Press, Amsterdam 2011, pp. 33–96
  S. Held, B. Korte, D. Rautenbach, and J. Vygen
  (See online at https://doi.org/10.3233/978-1-60750-718-5-33)
• Faster min-max resource sharing in theory and practice. Mathematical Programming Computation 3:1–35, 2011
  D. Müller, K. Radke, and J. Vygen
  (See online at https://doi.org/10.1007/s12532-011-0023-y)
• Negatively correlated bandits. Rev. Econ. Stud., 78(2):693–732, 2011
  N. Klein and S. Rady
  (See online at https://doi.org/10.1093/restud/rdq025)
• On the spectral side of Arthur’s trace formula — absolute convergence. Ann. of Math. (2), 174(1):173–195, 2011
  T. Finis, E. Lapid, and W. Müller
  (See online at https://doi.org/10.4007/annals.2011.174.1.5)
• Special cycles on unitary Shimura varieties I. Unramified local theory. Invent. Math., 184(3):629–682, 2011
  S. Kudla and M. Rapoport
  (See online at https://doi.org/10.1007/s00222-010-0298-z)
• Trading GRH for algebra: Algorithms for factoring polynomials and related structures. Mathematics of Computation, 81 (277):493–531, 2011
  G. Ivanyos, M. Karpinski, L. Rónyai, and N. Saxena
  (See online at https://doi.org/10.1090/S0025-5718-2011-02505-6)
• Evaluation of the multiple zeta values ζ(2, ..., 2, 3, 2, ..., 2). Ann. of Math. (2) 175(2):977–1000, 2012
  D. Zagier
  (See online at https://doi.org/10.4007/annals.2012.175.2.11)
• Futures cross-hedging with a stationary basis. Journal of Financial and Quantitative Analysis, 47(6):1361–1395, 2012
  S. Ankirchner, G. Dimitroff, G. Heyne, and C. Pigorsch
  (See online at https://doi.org/10.1017/S0022109012000555)
• Generic bases for cluster algebras and the Chamber ansatz. J. Amer. Math. Soc. 25(1):21–76, 2012
  C. Geiss, B. Leclerc, and J. Schröer
  (See online at https://doi.org/10.1090/S0894-0347-2011-00715-7)
• Highest weight categories arising from Khovanov’s diagram algebra IV: The general linear supergroup. J. Eur. Math. Soc. (JEMS), 14(2):373–419, 2012
  J. Brundan and C. Stroppel
  (See online at https://doi.org/10.4171/JEMS/306)
• Perfectoid spaces. Publ. Math. Inst. Hautes Études Sci., 116:245–313, 2012
  P. Scholze
  (See online at https://doi.org/10.1007/s10240-012-0042-x)
• Sparse Legendre expansions via 1 -minimization. J. Approx. Theory 164(5):517–533, 2012
  H. Rauhut and R. Ward
  (See online at https://doi.org/10.1016/j.jat.2012.01.008)
• The Borel conjecture for hyperbolic and CAT(0)-groups. Ann. of Math. (2), 175(2):631–689, 2012
  A. Bartels and W. Lück
  (See online at https://doi.org/10.4007/annals.2012.175.2.5)
• Approximating L2 -invariants and homology growth. Geom. Funct. Anal., 23(2):622–663, 2013
  W. Lück
  (See online at https://doi.org/10.1007/s00039-013-0218-7)
• On the cohomology of compact unitary group Shimura varieties at ramified split places. J. Amer. Math. Soc. 26(1):261–294, 2013
  P. Scholze and S. W. Shin
  (See online at https://doi.org/10.1090/S0894-0347-2012-00752-8)
• On the equivalence of Bayesian and dominant strategy implementation. Econometrica, 81(1):197–220, 2013
  A. Gershkov, J. K. Goeree, A. Kushnir, B. Moldovanu, and X. Shi
  (See online at https://doi.org/10.3982/ECTA10592)
• Optimal asymptotic bounds for spherical designs. Ann. of Math. (2), 178(2):443–452, 2013
  A. Bondarenko, D. Radchenko, and M. Viazovska
  (See online at https://doi.org/10.4007/annals.2013.178.2.2)
• Plasticity of tumour and immune cells: a source of heterogeneity and a cause for therapy resistance? Nature Rev. Cancer 13(5): 365–376, 2013
  M. Hölzel, A. Bovier, and T. Tüting
  (See online at https://doi.org/10.1038/nrc3498)
• Self-similar solutions with fat tails for Smoluchowski’s coagulation equation with locally bounded kernels. Comm. Math. Phys., 318(2):505–532, 2013
  B. Niethammer and J. J. L. Veláquez
  (See online at https://doi.org/10.1007/s00220-012-1553-5)
• The extremal process of branching Brownian motion. Probab. Theory Related Fields, 157(3-4):535–574, 2013
  L.-P. Arguin, A. Bovier, and N. Kistler
  (See online at https://doi.org/10.1007/s00440-012-0464-x)
• The Langlands-Kottwitz approach for some simple Shimura varieties. Invent. Math. 192(3): 627–661, 2013
  P. Scholze
  (See online at https://doi.org/10.1007/s00222-012-0419-y)
• The Langlands-Kottwitz method and deformation spaces of p-divisible groups. J. Amer. Math. Soc. 26(1):227–259, 2013
  P. Scholze
  (See online at https://doi.org/10.1090/S0894-0347-2012-00752-8)
• The local Langlands correspondence for GLn over p-adic fields. Invent. Math. 192(3):663–715, 2013
  P. Scholze
  (See online at https://doi.org/10.1007/s00222-012-0420-5)
• Approximating rough stochastic PDEs. Comm. Pure Appl. Math. 67(5):776–870, 2014
  M. Hairer, J. Maas, and H. Weber
  (See online at https://doi.org/10.1002/cpa.21495)
• Free energy fluctuations for directed polymers in random media in 1+1 dimension. Comm. Pure Appl. Math. 67(7):1129–1214, 2014
  A. Borodin, I. Corwin, and P. Ferrari
  (See online at https://doi.org/10.1002/cpa.21520)
• Investment dispersion and the business cycle. American Economic Review, 104(4):1392–1416, 2014
  R. Bachmann and C. Bayer
  (See online at https://doi.org/10.1257/aer.104.4.1392)
• Lines of minima in outer space. Duke Math. J., 163(4):733–776, 2014
  U. Hamenstädt
  (See online at https://doi.org/10.1215/00127094-2429807)
• Mean-field evolution of fermionic systems. Comm. Math. Phys. 331(3):1087–1131, 2014
  N. Benedikter, M. Porta, and B. Schlein
  (See online at https://doi.org/10.1007/s00220-014-2031-z)
• Milnor invariants and twisted Whitney towers. J. Topol., 7(1):187–224, 2014
  J. Conant, R. Schneiderman, and P. Teichner
  (See online at https://doi.org/10.1112/jtopol/jtt025)
• Parity sheaves. J. Amer. Math. Soc. 27(4):1169– 1212, 2014
  D. Juteau, C. Daniel, and G. Williamson
  (See online at https://doi.org/10.1090/S0894-0347-2014-00804-3)
• Rate-independent dynamics and Kramers-type phase transitions in nonlocal Fokker-Planck equations with dynamical control. Arch. Ration. Mech. Anal. 214(3):803–866, 2014
  M. Herrmann, B. Niethammer, and J. J. L. Velázquez
  (See online at https://doi.org/10.1007/s00205-014-0782-5)
• Shorter tours by nicer ears: 7/5-approximation for the graph-TSP, 3/2 for the path version, and 4/3 for two-edge-connected subgraphs. Combinatorica, 34(5):597–629, 2014
  A. Sebö and J. Vygen
  (See online at https://doi.org/10.1007/s00493-014-2960-3)
• The Farrell-Jones conjecture for cocompact lattices in virtually connected Lie groups. J. Amer. Math. Soc., 27(2):339–388, 2014
  A. Bartels, F. T. Farrell, and W. Lück
  (See online at https://doi.org/10.1090/S0894-0347-2014-00782-7)
• The Hodge theory of Soergel bimodules. Ann. of Math. (2) 180(3):1089–1136, 2014
  B. Elias and G. Williamson
  (See online at https://doi.org/10.4007/annals.2014.180.3.6)
• Finite time blow-up and condensation for the bosonic Nordheim equation. Invent. Math. 200(3):761–847, 2015
  M. Escobedo and J. J. L. Velázquez.
  (See online at https://doi.org/10.1007/s00222-014-0539-7)
• Improved smoothed analysis of multiobjective optimization. J. ACM, 62(1):4:1–4:58, 2015
  T. Brunsch and H. Röglin
  (See online at https://doi.org/10.1145/2699445)
• Lp theory for outer measures and two themes of Lennart Carleson united. Bull. Amer. Math. Soc. (N.S.), 52(2):249–296, 2015
  Y. Do and C. Thiele
  (See online at https://doi.org/10.1090/S0273-0979-2014-01474-0)
• On the equivalence of the entropic curvaturedimension condition and Bochner’s inequality on metric measure spaces. Invent. Math., 201(3):993–1071, 2015
  M. Erbar, K. Kuwada, and K.-T. Sturm
  (See online at https://doi.org/10.1007/s00222-014-0563-7)
• On torsion in the cohomology of locally symmetric varieties. Ann. of Math. (2), 182(3):945–1066, 2015
  P. Scholze
  (See online at https://doi.org/10.4007/annals.2015.182.3.3)
• Optimal sales contracts with withdrawal rights. The Review of Economic Studies, 82(2):762–790, 2015
  D. Krähmer and R. Strausz
  (See online at https://doi.org/10.1093/restud/rdv003)
• Strategic experimentation with private payoffs. Journal of Economic Theory, 159:531–551, 2015
  P. Heidhues, S. Rady, and P. Strack
  (See online at https://doi.org/10.1016/j.jet.2015.07.017)
• Time discrete geodesic paths in the space of images. IAM Journal on Imaging Sciences, 8(3):1457–1488, 2015
  B. Berkels, A. Effland, and M. Rumpf
  (See online at https://doi.org/10.1137/140970719)
• Transience of edge-reinforced random walk. Comm. Math. Phys. 339(1):121–148, 2015
  M. Disertori, C. Sabot, and P. Tarrès
  (See online at https://doi.org/10.1007/s00220-015-2392-y)
• A stochastic model for immunotherapy of cancer. Scientific Reports 6 (24169), 2016
  M. Baar, L. Coquille , H. Mayer, M. Hölzel, M. Rogava, T. Tüting, and A. Bovier
  (See online at https://doi.org/10.1038/srep24169)
• Belief propagation, robust reconstruction and optimal recovery of block models. Ann. Appl. Probab. 26(4):2211–2256, 2016
  E. Mossel, J. Neeman, and A. Sly
  (See online at https://doi.org/10.1214/15-AAP1145)
• Dislocation microstructures and strain-gradient plasticity with one active slip plane. J. Mech. Phys. Solids, 93:240–251, 2016
  S. Conti, A. Garroni, and S. Müller
  (See online at https://doi.org/10.1016/j.jmps.2015.12.008)
• Functional linear regression with points of impact. Ann. Statist., 44(1):1–30, 2016
  A. Kneip, D. Poss, and P. Sarda
  (See online at https://doi.org/10.1214/15-AOS1323)
• An optimal control problem governed by a regularized phase-field fracture propagation model. SIAM J. Control Optim. 55(4):2271–2288, 2017
  I. Neitzel, T. Wick, and W. Wollner
  (See online at https://doi.org/10.1137/16M1062375)
• Bayesian posteriors for arbitrarily rare events. Proceedings of the National Academy of Sciences, 114(19):4925–4929, 2017
  D. Fudenberg, K. He, and L. A. Imhof.
  (See online at https://doi.org/10.1073/pnas.1618780114)
• Content-based agendas and qualified majorities in sequential voting. Am. Econ. Rev., 107(6):1477–1506, 2017
  A. Kleiner and B. Moldovanu
  (See online at https://doi.org/10.1257/aer.20160277)
• Dijkstra meets Steiner: a fast exact goal-oriented Steiner tree algorithm. Mathematical Programming Computation 9:135–202, 2017
  S. Hougardy, J. Silvanus, and J. Vygen
  (See online at https://doi.org/10.1007/s12532-016-0110-1)
• Eliminating the pollution effect in Helmholtz problems by local subscale correction. Math. Comp. 86(305):1005–1036, 2017
  D. Peterseim
  (See online at https://doi.org/10.1090/mcom/3156)
• Equivariant properties of symmetric products. J. Amer. Math. Soc., 30(3):673– 711, 2017
  S. Schwede
  (See online at https://doi.org/10.1090/jams/879)
• KPZ reloaded. Comm. Math. Phys. 349(1):165–269, 2017
  M. Gubinelli and N. Perkowski
  (See online at https://doi.org/10.1007/s00220-016-2788-3)
• Learning and price discovery in a search market. The Review of Economic Studies, 85(2):1159–1192, 2017
  S. Lauermann, W. Merzyn, and G. Virág
  (See online at https://doi.org/10.1093/restud/rdx029)
• On the generic part of the cohomology of compact unitary Shimura varieties. Ann. of Math. (2) 186(3):649–766, 2017
  A. Caraiani and P. Scholze
  (See online at https://doi.org/10.4007/annals.2017.186.3.1)
• On the interconnection between the higher-order singular values of real tensors. Numer. Math. 135(3):875–894, 2017
  W. Hackbusch and A. Uschmajew
  (See online at https://doi.org/10.1007/s00211-016-0819-9)
• Optimal transport and Skorokhod embedding. Invent. Math. 208(2):327–400, 2017
  M. Beiglböck, A. M. G. Cox, and M. Huesmann
  (See online at https://doi.org/10.1007/s00222-016-0692-2)
• Projectivity of the Witt vector affine Grassmannian. Invent. Math. 209(2):329–423, 2017
  B. Bhatt and P. Scholze
  (See online at https://doi.org/10.1007/s00222-016-0710-4)
• Quivers with relations for symmetrizable Cartan matrices I: Foundations. (English summary) Invent. Math. 209(1):61–158, 2017
  C. Geiss, B. Leclerc, and J. Schröer
  (See online at https://doi.org/10.1007/s00222-016-0705-1)
• Schubert calculus and torsion explosion. With a joint appendix with Alex Kontorovich and Peter J. McNamara. J. Amer. Math. Soc. 30(4):1023–1046, 2017
  G. Williamson
  (See online at https://doi.org/10.1090/jams/868)
• Stable splittings of Hilbert spaces of functions of infinitely many variables. J. Complexity, 41:126–151, 2017
  M. Griebel and P. Oswald
  (See online at https://doi.org/10.1016/j.jco.2017.01.003)
• The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth. Math. Comp. 86(306):1855–1876, 2017
  M. Griebel, F. Y. Kuo, and I. H. Sloan
  (See online at https://doi.org/10.1090/mcom/3171)
• The K3 category of a cubic fourfold. Compos. Math., 153(3):586–620, 2017
  D. Huybrechts
  (See online at https://doi.org/10.1112/S0010437X16008137)
• A priori L2 -discretization error estimates for the state in elliptic optimization problems with pointwise inequality state constraints. Numer. Math. 138(2):273–299, 2018
  I. Neitzel, and W. Wollner
  (See online at https://doi.org/10.1007/s00211-017-0906-6)
• An adaptive multiscale approach for electronic structure methods. Multiscale Modeling & Simulation. A SIAM Interdisciplinary Journal, 16(2):752–776, 2018
  S. R. Chinnamsetty, M. Griebel, and J. Hamaekers
  (See online at https://doi.org/10.1137/16M1088119)
• Better s-t-tours by Gao trees. Mathematical Programming B 172:191–207, 2018
  C. Gottschalk and J. Vygen
  (See online at https://doi.org/10.1007/978-3-319-33461-5_11)
• Data-driven problems in elasticity. Arch. Ration. Mech. Anal. 229(1):79–123, 2018
  S. Conti, S. Müller, and M. Ortiz
  (See online at https://doi.org/10.1007/s00205-017-1214-0)
• Energy solutions of KPZ are unique. J. Amer. Math. Soc. 31(2):427–471, 2018
  M. Gubinelli and N. Perkowski
  (See online at https://doi.org/10.1090/jams/889)
• Global homotopy theory. New Mathematical Monographs 34. Cambridge University Press, Cambridge, 2018. xviii+828 pp.
  S. Schwede
  (See online at https://doi.org/10.1017/9781108349161)
• Global routing with timing constraints. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 37 (2018), 406–419
  S. Held, D. Müller, D. Rotter, R. Scheifele, V. Traub, and J. Vygen
  (See online at https://doi.org/10.1109/TCAD.2017.2697964)
• Image extrapolation for the time discrete metamorphosis model: existence and applications. SIAM J. Imaging Sci. 11(1):834–862, 2018
  A. Effland, M. Rumpf, and F. Schäfer
  (See online at https://doi.org/10.1137/17M1129544)
• Multilevel preconditioners for embedded enriched partition of unity approximations. Advanced Modeling and Simulation in Engineering Sciences, 5(1):13, 2018
  M. A. Schweitzer and A. Ziegenhagel
  (See online at https://doi.org/10.1186/s40323-018-0107-6)
• Nazarov–Wenzl algebras, coideal subalgebras and categorified skew Howe duality. Adv. Math., 331:58–142, 2018
  M. Ehrig and C. Stroppel
  (See online at https://doi.org/10.1016/j.aim.2018.01.013)
• Nonparametric analysis of random utility models. Econometrica 86(6):1883-1909, 2018
  Y. Kitamura and J. Stoye
  (See online at https://doi.org/10.3982/ECTA14478)
• Quasimodularity and large genus limits of Siegel-Veech constants. J. Amer. Math. Soc. 31(4):1059–1163, 2018
  D. Chen, M. Müller, and D. Zagier
  (See online at https://doi.org/10.1090/jams/900)
• Relationship of gender differences in preferences to economic development and gender equality. Science 362(6412), 2018. eaas9899
  A. Falk and J. Hermle
  (See online at https://doi.org/10.1126/science.aas9899)
• Renormalization of the two-dimensional stochastic nonlinear wave equations. Trans. Amer. Math. Soc. 370(10):7335–7359, 2018
  M. Gubinelli, H. Koch, and T. Oh
  (See online at https://doi.org/10.1090/tran/7452)
• Triangulated surfaces in triangulated categories. J. Eur. Math. Soc., 20(6):1473–1524, 2018
  T. Dyckerhoff and M. Kapranov
  (See online at https://doi.org/10.4171/JEMS/791)