GSC 14:  Berlin Mathematical School (BMS)

• Subject Area: Mathematics
• Term: from 2006 to 2018
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 24061210

• Final Report Year: 2019

Final Report Abstract

The Berlin Mathematical School (BMS) is the joint graduate school of the mathematics departments at the three major Berlin universities. Funded by the Excellence Initiative from November 2006 until the end of 2018, the BMS started in full swing in fall 2006, and quickly implemented the complete agenda of the 2006 proposal: It established a new course program, coordinated across the three universities and taught in English; it started active advertising, targeting top students and especially excellent female students; it built up a diverse, international body of students to whom it offers active mentoring, supervision, and support by the BMS One-Stop Office; and it set up lounges and office space at all three universities. During the second funding period starting in 2012, the BMS added new components and strategies, including a postdoctoral program. These additions supported the BMS objective of being a permanent framework for excellence in mathematics graduate studies, benefiting the whole of Berlin mathematics, and competing worldwide for the best students. The BMS was established as a permanent institution that has grown into its full format with over 170 students. The graduate program consists of a course phase (Phase I, three to four semesters) leading from the bachelor’s level to a master’s degree, and a thesis phase (Phase II, four to six semesters) leading to a doctoral degree at one of the universities. Over 300 students have now completed doctorates within the program with excellent results and gone on to successful careers in academia or industry. The students have shown great initiative in organizing additional activities and building a sense of belonging to the “BMS Family”. The success of the BMS is based on four key elements:  The structured graduate program including the course program taught in English by BMS faculty members, the BMS Friday Colloquia, and soft-skills seminars.  The full integration of BMS students into Berlin’s active research environment in pure and applied mathematics, including RTGs, IMPRSs, CRCs, and other research projects. This integration was aided by the BMS postdoctoral program.  The professional management, which coordinates all aspects of the BMS – including recruiting and mentoring of students – and runs the BMS One-Stop Office.  The effective quality control over all aspects of the BMS: advertising and admissions, the study program, student performance, teaching, and the mentoring program. Through these the BMS has had significant structural impact on its host universities. Because of its success, the BMS became an integral part of the application for the Cluster of Excellence MATH+. With the success of MATH+ in the Excellence Strategy, the BMS will be augmented as the MATH+ graduate school and can continue to act as a role model for excellent graduate education.

Link to the final report

https://doi.org/10.2314/KXP:1699089108

Publications

• Understanding the geometry of transport: Diffusion maps for Lagrangian trajectory data unravel coherent sets. Chaos, 272016
  Banisch, Ralf, Koltai, Péter
  
• Cohomological arithmetic Chow rings. Journal of the Institute of Mathematics of Jussieu, 6:1–172, 2007
  Burgos Gil, J I, Kramer, Jürg, Kühn, Ulf
  
• Discrete Differential Geometry, Vol. 38 of Oberwolfach Seminars. Birkhäuser, Basel, 2008
  Bobenko, Alexander I, Schröder, Peter, Sullivan, John M, and Ziegler, Günter M, editors
  
• Large deviations and a Kramers’ type law for self-stabilizing diffusions. Ann. Appl. Probab., 18(4):1379–1423, 2008
  Herrmann, Samuel, Imkeller, Peter and Peithmann, Dierk
  
• Multigrid methods for discrete elliptic problems on triangular surfaces. in: Comp. Visual. Sci., 11:251–257, 2008
  Kornhuber, Ralf and Yserentant, Harry
  
• Γ-limits and relaxations for rate-independent evolutionary problems. Calc. Var. Part. Diff. Eqns., 31:387–416, 2008
  Mielke, Alexander, Roubíćek, Tomáš and Stefanelli, Ulisse
  
• Bounds on Faltings’s delta function through covers. Ann. of Math. (2), 170(1):1–43, 2009
  Jorgenson, Jay and Kramer, Jürg
  
• Bounds on Faltings’s delta function through covers. Annals of MathematicsSecond Series, 170:1–43, 2009
  Jorgenson, Jay, Kramer, Jürg
  
• Constructing the equilibrium ensemble of folding pathways from short off-equilibrium simulations. Proc. Natl. Acad. Sci. USA, 106(45):19011–19016, 2009
  Noé, Frank, Schütte, Christof, Vanden-Eijnden, Eric, Reich, Lothar, and Weikl, Thomas R
  
• Proofs from THE BOOK. Springer-Verlag, 2009; fourth edition; German translation 2009 by the authors; also published in 12 other languages
  Aigner, Martin and Ziegler, Günter M
  
• The signature operator on manifolds with a conical singular stratum. Astérisque – Societé Mathematique de France, 328:1–44, 2009
  Brüning, Jochen
  
• 2] Ankirchner, Stefan, Imkeller, Peter, and Reis, Gonçalo, Pricing and hedging of derivatives based on non-tradable underlyings. Mathematical Finance, 20(2):289–312, 2010
  Ankirchner, Stefan, Imkeller, Peter, and Reis, Gonçalo
  
• Densities for rough differential equations under Hörmander’s condition. Ann. of Math. (2), 171(3):2115–2141, 2010
  Cass, Thomas and Friz, Peter
  
• Multidimensional stochastic processes as rough paths, Cambridge Studies in Advanced Mathematics, Vol 120. Cambridge University Press, Cambridge, 2010
  Friz, Peter K and Victoir, Nicolas B
  
• On the spectral expansion of hyperbolic Eisenstein series. Math. Ann., 346:931–947, 2010
  Jorgenson, Jay, Kramer, Jürg, von Pippich, Anna-Maria
  
• The Kodaira dimension of the moduli space of Prym varieties. J. of the European Mathematical Society (JEMS), 12:755–795, 2010
  Farkas, Gavril and Ludwig, Katharina
  
• Adaptive computation of smallest eigenvalues of self-adjoint elliptic partial differential equations. Numerical Linear Algebra with Applica-ons, 18:387–409, 2011
  Mehrmann, Volker, Miedlar, Agnieszka
  
• Optimal bounds for a colorful Tverberg–Vrećica type problem. Advances in Math., 226:5198–5215, 2011
  Blagojević, Pavle V M, Matschke, Benjamin, and Ziegler, Günter M
  
• Zonotopal algebra. Adv. Math., 227(2):847–894, 2011
  Holtz, Olga and Ron, Amos
  
• Curvature line parametrized surfaces and orthogonal coordinate systems: Discretization with Dupin cyclides. Geometria Dedicata, 159:207–237, 2012
  Bobenko, Alexander I., Huhnen-Venedey, Emanuel
  
• Index theorems on manifolds with straight ends. Comp. Math., 148:1897–1968, 2012
  Brüning, Jochen, Carron, Gilles, Ballmann, Werner
  
• Discrete reliability for Crouzeix– Raviart FEMs. SIAM J. Numer. Anal., 51:2935–2955, 2013
  Carstensen, Carsten, Gallistl, Dietmar, Schedensack, Mira
  
• On the gluing formula for the analytic torsion. Math. Zeitschrift, 273:1085–1117, 2013
  Brüning, Jochen, Ma, Xiaonan
  
• A remark on newest vertex bisection in any space dimension. Computational Methods in Applied Mathematics, 14:317–320, 2014
  Gallistl, Dietmar, Schedensack, Mira, Stevenson, Rob P.
  
• An adaptive finite element method with asymptotic saturation for eigenvalue problems. Numerische Mathematik, 128:615–634, 2014
  Carstensen, Carsten, Gedicke, J, Mehrmann, Volker, Miedlar, Agnieszka
  
• Characterization of rare events in molecular dynamics. Entropy, 16:350–376, 2014
  Badowski, Tomasz, Banisch, Ralf, Hartmann, Carsten, Sarich, Marco
  
• Fp is locally like C. Journal of the London Mathematical Society, 89:724–744, 2014
  Grosu, Codrut
  
• Low-order dPG-FEM for an elliptic PDE. Comp. Math. Appl., 68:1503–1512, 2014
  Carstensen, Carsten, Gallistl, Dietmar, Hellwig, Friederike, Weggler, Lucy
  
• Tverberg plus constraints. Bull. Lond. Math. Soc., 46:953–967, 2014
  Blagojević, Pavle V M, Frick, Florian, Ziegler, Günter M
  
• Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion. Networks Heterg. Materials, 9:353–382, 2014
  Mielke, Alexander, Reichelt, S, Thomas, Marita
  
• What is Ramseyequivalent to a clique? Journal of Combinatorial Theory, Series B:120–133, 2014
  Fox, Jacob, Grinshpun, Andrey, Liebenau, Anita, Person, Yury
  
• Adaptive nonconforming Crouzeix–Raviart FEM for eigenvalue problems. Mathematics of Computation, 84:1061– 1087, 2015
  Carstensen, Carsten, Gallistl, Dietmar, Schedensack, Mira
  
• Approximate k-flat nearest neighbor search. Proceedings of the 47th Annual Symposium on the Theory of Computing (STOC):783–792, 2015
  Mulzer, Wolfgang, Nguyên, Huy L, Seiferth, Paul, Stein, Yannik
  
• Bounds for Green’s functions on hyperbolic Riemann surfaces of finite volume. Mathematische Zeitschrift, 2802014
  Aryasomayajula, Anilatmaja
  
• Comparison results for the Stokes equations. Applied Numerical Mathematics, 95:118–129, 2015
  Carstensen, Carsten, Köhler, Karoline, Peterseim, Daniel, Schedensack, Mira
  
• Genetic variability under the seed bank coalescent. Genetics 200:921–934, 2015
  Blath, Jochen, Eldon, Bjarki, González Casanova Sobéron, Adrián, Kurt, Noemi
  
• Medius analysis and comparison results for firstorder finite element methods in linear elasticity. IMA Journal of Numerical Analysis, 35:1591– 1621, 2015
  Carstensen, Carsten, Schedensack, Mira
  
• Reciprocal class of jump processes. Journal of Theoretical Probability, 30:551–580, 2015
  Conforti, Giovanni, Dai Pra, Paolo, Roelly, Sylvie
  
• The Lipschitz metric on deformation spaces of G-trees. Algebr. Geom. Topol., 15:987–1029, 2015
  Meinert, Sebastian
  
• The variation of the monodromy group in families of stratified bundles in positive characteristic. Documenta Math., 20:65–87, 2015
  Battiston, Giulia
  
• A natural nonconforming FEM for the Bingham flow problem is quasi-optimal. Numerische Mathematik, 133:37–66, 2016
  Carstensen, Carsten, Reddy, B D, Schedensack, Mira
  
• A new coalescent for seed-bank models. Annals of Applied Probability, 26:857–891, 2016
  Blath, Jochen, González Casanova Sobéron, Adrián, Kurt, Noemi, Wilke-Berenguer, Maite
  
• A new discretization for mth-Laplace equations with arbitrary polynomial degrees. SIAM J. Numer. Anal., 54:2138–2162, 2016
  Schedensack, Mira
  
• An individual-based model for the Lenski experiment, and the deceleration of the relative fitness. Stochastic Processes and their Applications, 126:2211–2252, 2016
  González Casanova Sobéron, Adrián, Kurt, Noemi, Wakolbinger, Anton, Yuan, Linglong
  
• Data-driven optimizations for model checking of multi-valued regulatory networks. Biosystems, 149:125–138, 2016
  Siebert, Heike, Streck, Adam, Thobe, Kirsten
  
• Guaranteed velocity error control for the pseudostress approximation of the Stokes equations. Numerical Methods for Partial Differential Equations, 32:1411–1432, 2016
  Bringmann, Philipp, Carstensen, Carsten, Merdon, Christian
  
• Instance optimal Crouzeix–Raviart adaptive finite element methods for the Poisson and Stokes problems. IMA Journal of Numerical Analysis, 36:593–617, 2016
  Kreuzer, Christian, Schedensack, Mira
  
• L2 best approximation of the elastic stress in the Arnold–Winther FEM. IMA Journal of Scientific Computing, 36:1096– 1119, 2016
  Carstensen, Carsten, Gallistl, Dietmar, Schedensack, Mira
  
• Low-order discontinuous Petrov–Galerkin finite element methods for linear elasticity. SIAM J. Numer. Anal., 54:3388–3410, 2016
  Carstensen, Carsten, Hellwig, Friederike
  
• Recent advances in reaction-diffusion equations with non-ideal relays. Control of Self-Organizing Nonlinear Systems: 211–234, 2016
  Gurevich, Pavel, Curran, Mark, Tikhomirov, Sergey
  
• Stability results for Houghton groups. Algebr. Geom. Topol., 16:2365–2377, 2016
  Patzt, Peter, Wu, Xiaolei
  
• The generic Green–Lazarsfeld secant conjecture. Inventiones Mathematicae, 203:265–301, 2016
  Farkas, Gavril, Kemeny, Michael
  
• The scaling limit of the interface of the continuous-space symbiotic branching model. Annals of Probability, 44:807–866, 2016
  Blath, Jochen, Hammer, Matthias, Ortgiese, Marcel
  
• Weighted digraphs and tropical cones. Linear Algebra and its Applications, 501:304–343, 2016
  Joswig, Michael, Loho, Georg
  
• An entropic gradient structure for Lindblad equations and couplings of quantum systems to macroscopic models. J. Stat. Physics, 167:205– 233, 2017
  Mielke, Alexander, Mittnenzweig, Markus
  
• Bridge mixtures of random walks on an Abelian group. Bernoulli, 23:1518–1537, 2017
  Conforti, Giovanni, Roelly, Sylvie
  
• Commute maps: Separating slowly mixing molecular configurations for kinetic modeling. Journal of Chemical Theory and Computation, 12:5620–5630, 2017
  Banisch, Ralf, Clementi, Cecilia, Noé, Frank
  
• Computing convex hulls and counting integer points with polymake. Mathematical Programming Computaiton, 9:1–38, 2017
  Assarf, Benjamin, Gawrilow, Ewgenij, Herr, Katrin, Joswig, Michael
  
• Discrete Riemann surfaces based on quadrilateral cellular decompositions. Advances in Mathematics, 311:885–932, 2017
  Bobenko, Alexander I., Günther, Felix
  
• Efficient discrete Lagrange multipliers in three firstorder finite element discretizations for the a posteriori error control in an obstacle problem. SIAM J. Numer. Anal., 55:349–375, 2017
  Carstensen, Carsten, Köhler, Karoline
  
• Good deal hedging and valuation under combined uncertainty about drift and volatility. Probability, Uncertainty and Quantitative Risk, 22017
  Becherer, Dirk, Klebert, Kentia
  
• Intersection theory of toric b-divisors in toric varieties. Journal of Algebraic Geometry, 282017
  Botero, Ana M
  
• Linearized elasticity as Mosco limit of finite elasticity in the presence of cracks. Adv. Calculus Variations 2017
  Gussmann, P, Mielke, Alexander
  
• Matroids from hypersimplex splits. Journal of Combinatorial Theory. Series A, 151:254–284, 2017
  Joswig, Michael, Schröter, Benjamin
  
• Max Point-tolerance graphs. Discrete Applied Mathematics, 216:84–97, 2017
  Catanzaro, Daniele, Chaplick, Steven, Felsner, Stefan, Halldorsson, Bjarni V.
  
• Mixed finite element methods for linear elasticity and the Stokes equations based on the Helmholtz decomposition. ESAIM: Mathematical Modelling and Numerical Analysis, 51:399–425, 2017
  Schedensack, Mira
  
• Nonconforming FEM for the obstacle problem. IMA Journal of Numerical Analysis, 37:64–93, 2017
  Carstensen, Carsten, Köhler, Karoline
  
• Sharp one-sided curvature estimates for fully nonlinear curvature flows and applications to ancient solutions. Journal für die reine und angewandte Mathematik (Crelles Journal) 2017
  Lynch, Stephen, Langford, Mat
  
• Supercyclidic Nets. Internat. Math. Research Notices, 2017:323–371
  Bobenko, Alexander I., Huhnen-Venedey, Emanuel, Rörig, Thilo
  
• The complexity of the partial order dimension problem – Closing the gap. SIAM J. Discr. Math., 31:172–189, 2017
  Felsner, Stefan, Mustata, Irina, Pergel, Martin
  
• The rainbow at the end of the line – A PPAD formulation of the colorful Carathéodory theorem with applications. Proceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms (SODA):1342–1351, 2017
  Meunier, Frédéric, Mulzer, Wolfgang, Sarrabezolles, Pauline, Stein, Yannik
  
• A low-order discontinuous Petrov– Galerkin method for the Stokes equations. Numerische Mathematik, 140:1–34, 2018
  Carstensen, Carsten, Puttkammer, Sophie
  
• A theory of Galois descent for finite inseparable extensions. Proceeding AMS, 146:69–83, 2018
  Battiston, Giulia
  
• Block diagonal dominance of matrices revisited: Bounds for the norms of inverses and eigenvalue inclusion sets. Linear Algebra and its Applications, 553:365–383, 2018
  Echeverría Serur, Carlos, Liesen, Jörg, Nabben, Reinhard
  
• Convergence of the multiplicative Schwarz method for singularly perturbed convection-diffusion problems discretized on a Shishkin mesh. Electronic Transactions on Numerical Analysis (ETNA), 48:40–62, 2018
  Echeverría Serur, Carlos, Liesen, Jörg, Szyld, Daniel B., Tichý, Petr
  
• Different models of bioregulatory networks. SIAM Journal on Applied Dynamical Systems, 17:1742–1765, 2018
  Roeblitz, Susanne, Schwieger, Robert, Siebert, Heike
  
• Extremal hypergraphs for Ryser’s conjecture. Journal of Combinatorial Theory, Series A:492–547, 2018
  Haxell, Penny, Narins, Lothar, Szabo, Tibor
  
• Nonlinear discontinuous Petrov–Galerkin methods. Numerische Mathematik, 139:529–561, 2018
  Bringmann, Philipp, Carstensen, Carsten, Hellwig, Friederike, Wriggers, Peter
  
• Optimal Convergence rates for adaptive lowestorder discontinuous Petrov–Galerkin schemes. SIAM J. Numer. Anal., 56:1091–1111, 2018
  Carstensen, Carsten, Hellwig, Friederike
  
• Optimal entropy-transport problems and a new Hellinger–Kantorovich distance between positive measures. Inventiones mathematicae, 211:969–1117, 2018
  Liero, Matthias, Mielke, Alexander, Savaré, Giuseppe
  
• Optimal liquidation under stochastic liquidity. Finance and Stochastics, 22:39–68, 2018
  Becherer, Dirk, Bilarev, Todor
  
• Representation stability for filtrations of Torelli groups. Math. Ann., 372:257–298, 2018
  Patzt, Peter
  
• Space–Time–Matter. Analytic and Geometric Structures. de Gruyter 2018
  Brüning, Jochen, Staudacher, Matthias
  
• Specialization map between stratified bundles and pro-étale fundamental groups. Adv. Math., 335:27–59, 2018
  Lavanda, Elena
  
• Stability of periodic solutions for hysteresis-delay differential equations. Journal of Dynamics and Differential Equations:1–48, 2018
  Gurevich, Pavel, Ron, Eyal
  
• The homology of configuration spaces of trees with loops. Algebr. Geom. Topol., 18:2443–2469, 2018
  Chettih, Safia, Luetgehetmann, Daniel
  
• The shided proper orthogonal decomposition: A mode decomposition for multiple transport phenomena. IAM Journal Scientific Computing, 40:A1322-A1344, 2018
  Mehrmann, Volker, Reiss, J, Schulze, P, Sesterhenn, Jörn
  
• Time-space trade-offs for computing Euclidean minimum spanning trees. Proceedings of the 13th Latin American Theoretical Informatics Symposium (LATIN):108–119, 2018
  Banyassady, Bahareh, Barba, Luis, Mulzer, Wolfgang
  
• Topology of the Grünbaum–Hadwiger–Ramos hyperplane mass par-on problem. Trans. Amer. Math. Soc., 370:6795–6824, 2018
  Blagojević, Pavle V M, Frick, Florian, Haase, Albert, Ziegler, Günter M
  
• A pathological case of the C1-conjecture in mixed characteristic. Math. Proc. Cambridge Philos. Soc., 167:61–64, 2019
  Kaur, Inder
  
• A study of solvers for nonlinear AFC discretizations of convection-diffusion equations. Computers & Mathematics with Applications 2019
  John, Volker, Jha, Abhinav
  
• Examples of varieties with inex one on C1-fields. J. Number Theory, 203:242–248, 2019
  Dan, Ananyo, Kaur, Inder
  
• Some more amplituhedra are contractible. Sel. Math. New Ser., 252019
  Blagojević, Pavle V M, Galashin, Pavle, Palic, Nevena, Ziegler, Günter M
  
• Stability for large investors strategies in M1/J1 topologies. Bernoulli Journal, 25:1105–1140, 2019
  Becherer, Dirk, Bilarev, Todor, Frentrup, Peter
  
• The homotopy sequence for regular singular stratified bundles. Annali SNS, 19:869–888, 2019
  Battiston, Giulia, Kindler, Lars
  
• Tverberg-type theorems for matroids: A counterexample and a proof. Combinatorica, 392019
  Blagojević, Pavle V M, Haase, Albert, Ziegler, Günter M