Faculty Research Areas
01 Actuarial mathematics
02 Algebra
03 Analysis
04 Applied mathematics
05 Combinatorics
06 Computational science and engineering
07 Didactics of mathematics
08 Geometry
09 Mathematical finance
10 Mathematical logic
11 Mathematical physics
12 Number theory
13 Numerical analysis/Scientific computing
14 Probability theory
15 Statistics
16 Operations Research and Optimization
01 Actuarial mathematics
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0101 Credibility theory
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Gisler
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0102 Integrated risk management
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Embrechts, Schweizer, Teichmann
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0103 Life insurance mathematics
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Koller
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0104 Non-life insurance mathematics
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Wüthrich
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0105 Risk theory
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Embrechts
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0106 Solvency
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Wüthrich
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02 Algebra
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0201 Field theory
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0202 Group rings
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0203 Group theory
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0204 Lie algebras
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Felder, Doran, Calaque
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0205 Representation theory
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Felder, Doran
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0206 Set theory
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0207 Theory of algebras
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0208 Theory of quadratic forms
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0209x Ring theory
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Hungerbühler
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03 Analysis
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0301 Abstract harmonic analysis
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0302 Calculus of variations
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Struwe, Ilmanen, Riviere, Soner, Hungerbühler, Eichmair
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0303 Dynamical Systems
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Burger, Iozzi, Stoffer, Einsiedler
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0304 Ergodic theory on groups
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Burger, Iozzi, Dehaye, Einsiedler
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0305 Functional analysis
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Riviere
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0306 Geometric analysis
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Struwe, Ilmanen, Lang, Da Lio, Riviere, Hungerbühler, Eichmair
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0307 Global analysis
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Struwe, Teichmann
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0308 Hamiltonian systems
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Salamon, Biran, Cannas da Silva
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0309 Hard implicit function theorems
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Salamon
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0310 Harmonic analysis
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Burger, Iozzi, Kowalski, Grohs
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0311 Nonlinear analysis
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Struwe, Ilmanen, Riviere, Soner, Biran, Hungerbühler
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0312 Ordinay Differential Equations
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Stoffer, Hungerbühler
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0313 Partial Differential Equations
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Struwe, Ilmanen, Christodoulou, Da Lio, Riviere, Soner, Mishra, Hungerbühler, Eichmair
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0314 Pseudoholomorphic curves
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Salamon, Riviere, Biran
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0315 Spectral theory
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04 Applied mathematics
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0401 Actuarial mathematics
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Embrechts
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0402 Biomathematics
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Bühlmann
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0403 Business mathematics
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0404 Engineering mathematics
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Hiptmair, Mishra, Gradinaru
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0405 Financial mathematics
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Embrechts, Schweizer, Teichmann, Soner, Muhle-Karbe
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0406 Operations research techniques
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Soner
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0407 Mathematics in Sciences (Earth Sciences, ...)
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Mishra, Gradinaru
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0408x Modelling in physics and engineering
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05 Combinatorics
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0501 Algebraic combinatorics
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Dehaye
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0502 Geometric combinatorics
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Burger, Fukuda
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0503 Graph theory
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Burger, Fukuda, Hungerbühler
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0504 Matroid theory
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Fukuda
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0505 Polyhedral combinatorics
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Fukuda, Weismantel
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06 Computational science and engineering
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0601 Computational electromagnetics
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Hiptmair, Gradinaru
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0602 Computational fluid mechanics
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Mishra
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0603 Computational mechanics
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Schwab
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0604 Computational physics
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Schwab, Mishra, Gradinaru
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0605 Magnetohydrodynamics
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Hiptmair, Schwab, Mishra
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0606x Computational biology & medicine
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Weismantel, Haus
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0607x Computational chemistry
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Gradinaru
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07 Didactics of mathematics
08 Geometry
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0801 Abelian varieties
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Pink, Wüstholz
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0802 Algebraic geometry
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Knörrer, Wüstholz, Pink, Biran, Doran, Calaque, Pandharipande
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0803 Algebraic topology
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Doran
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0804 Contact geometry
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Biran
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0805 Differential geometry
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Felder, Ilmanen, Lang, Christodoulou, Riviere, Biran, Cannas da Silva, Grohs, Eichmair
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0806 Discontinuous groups and automorphic forms
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Burger, Kowalski
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0807 Discrete geometry
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Burger, Lang, Fukuda
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0808 Geometric group theory
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Burger, Lang, Iozzi
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0809 Geometry of metric spaces
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Lang
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0810 Lie groups and discrete subgroups
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Burger, Iozzi, Kowalski, Einsiedler, Doran
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0811 Poisson geometry
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Calaque
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0812 Pseudoholomorphic curves
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Biran, Pandharipande
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0813 Semisimple groups and their representations
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0814 Several complex variables and analytic spaces
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Biran
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0815 Shimura varieties
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Pink, Wüstholz
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0816 Symmetric spaces
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Burger, Lang, Iozzi, Doran
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0817 Symplectic geometry
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Salamon, Biran, Cannas da Silva
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0818x Geometric Topology
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Doran
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09 Mathematical finance
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0901 Actuarial management
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0902 Credit risk
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0903 Dependence modelling
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Embrechts, Teichmann
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0904 Derivatives pricing
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Schwab, Schweizer, Teichmann, Soner, Muhle-Karbe
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0905 Econometric modelling
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Embrechts, Teichmann
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0906 Financial engineering
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Schweizer, Teichmann, Soner, Muhle-Karbe
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0907 Incomplete markets
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Schweizer, Soner, Muhle-Karbe
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0908 Modelling of extremes
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Embrechts
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0909 Risk Management
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Embrechts, Schweizer, Teichmann, Soner
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10 Mathematical logic
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1001x Logic Programming
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Weismantel, Haus
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11 Mathematical physics
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1101 Deformation quantization
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Felder, Calaque
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1102 General relativity
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Ilmanen, Christodoulou, Eichmair
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1103 Quantum field theory
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Felder, Knörrer
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1104 Quantum groups
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Felder, Calaque
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1105 Quantum many body systems
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Felder, Knörrer, Gradinaru
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1106 Renormalization group
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Knörrer
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1107x Fluid mechanics
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Christodoulou
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12 Number theory
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1201 Arithmetic algebraic geometry
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Pink, Wüstholz, Kowalski, Doran
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1202 Diophantine approximations
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Wüstholz, Einsiedler
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1203 Discontinuous groups and automorphic forms
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Burger, Imamoglu, Kowalski, Einsiedler
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1204 Transcendence theory
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Wüstholz
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1205 Zeta- and L-functions
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Imamoglu, Kowalski, Dehaye
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1206x Distribution of primes, sieve methods
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Kowalski
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1207x Random matrices
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Dehaye
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13 Numerical analysis/Scientific computing
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1301 Boundary element methods
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Hiptmair, Schwab
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1302 Complexity theory
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Schwab
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1303 Finite element methods
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Hiptmair, Schwab, Grohs, Gradinaru
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1304 Finite volume methods
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Hiptmair, Mishra
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1305 Interpolation and approximation
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Schwab, Mächler, Grohs, Gradinaru
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1306 Hardware-specific algorithms
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1307 Monte Carlo methods
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1308 Numerical linear algebra
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1309 Numerical methods for inverse problems
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Hiptmair
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1310 Numerical methods for ODEs
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Nipp, Stoffer, Gradinaru
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1311 Numerical methods for SDEs
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Schwab, Teichmann
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1312 Optimization methods
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Fukuda
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1313 Parallel algorithms
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1314 Particle methods
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1315 Numerical methods for hyperbolic conservation laws
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Mishra
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1316x Multi-scale methods
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Grohs, Gradinaru
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14 Probability theory
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1401 Combinatorial probability
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Dehaye, Nolin
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1402 Extreme value theory
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Embrechts
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1403 Limit theorems
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Schweizer, Sznitman, Nolin
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1404 Random fields
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Sznitman, Nolin
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1405 Random media
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Sznitman, Künsch, Nolin
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1406 Stochastic analysis
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Schweizer, Sznitman, Teichmann, Soner, Muhle-Karbe
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1407 Stochastic geometry
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Sznitman, Teichmann, Nolin
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1408 Stochastic partial differential equations
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Sznitman, Teichmann, Soner
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1409 Stochastic processes
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Embrechts, Schweizer, Sznitman, Teichmann, Muhle-Karbe, Nolin
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15 Statistics
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1501 Asymptotic theory
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Bühlmann, van de Geer, Maathuis
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1502 Bio- and medical statistics
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Bühlmann, Stahel, Maathuis, Kalisch, Meier
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1503 Engineering statistics
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Stahel, Mächler, Kalisch, Meier
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1504 Environmetrics
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Stahel
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1505 Foundations and philosophical topics
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1506 Machine- and statistical learning
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Bühlmann, van de Geer, Mächler, Kalisch, Meier
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1507 Monte Carlo methods
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1508 Multivariate statistics
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Bühlmann, Stahel, Kalisch
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1509 Nonparametric function estimation
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Bühlmann, van de Geer, Mächler, Maathuis
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1510 Robust methods
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Stahel, Mächler
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1511 Time series
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Embrechts, Bühlmann
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1512x Analysis of high-dimensional data
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van de Geer, Meier
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1513x Empirical processes
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van de Geer
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1514x Statistical computing and software
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Mächler, Maathuis, Kalisch, Meier
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1515x Bioinformatics, genomics etc
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Bühlmann, Kalisch, Meier
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16 Operations research and optimization
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1601 Optimization theory
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Fukuda, Weismantel, Bosio
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1602 Combinatorial and discrete optimization
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Fukuda, Cochand, Weismantel, Bosio
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1603 Continuous optimization
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1604 Complexity and approximation theory
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Fukuda, Weismantel, Bosio
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1605 Convex analysis and optimization
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1606 Stochastic optimization
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1607 Simulation and modelling
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Teichmann
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1608 Decision theory
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1609 Game theory
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1610 Logistics analysis
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1611x Robust Optimization
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1612x Mixed Integer Optimization
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Weismantel
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