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相比美國，歐洲讀博、做博后或許顯得有些“小眾”。

其實(shí)，歐洲博士和博后項(xiàng)目以其極高的薪資待遇著稱，如果可以拿到工作合同，讀博工資在當(dāng)?shù)匾褜僦挟a(chǎn)，并享受一切相關(guān)福利，畢業(yè)后不久即可申請當(dāng)?shù)赜谰踊蛞泼瘛Ｉ暾垰W洲讀博通常需要碩士學(xué)位，一般不需要GRE也無需當(dāng)?shù)卣Z言，有雅思或托福成績即可申請，套磁是申請的關(guān)鍵。

我在德國拿到博士學(xué)位后工作半年，即具備申請德國永居的資格，相比于美國也簡單很多。來德國做博后拿的是工作合同，工作滿4年即可申請永居。

關(guān)于我的歐美留學(xué)經(jīng)歷和全球博士薪資，請戳下方鏈接：

視頻手稿 | 普通家庭人十年美德留學(xué)史，最終落戶德國做一個快樂打工人

【留德華叫獸】|全球?qū)W術(shù)界博士(后)、教職工資福利總覽--知乎不斷更新中！

01

招生概覽

The cluster of excellence Hausdorff Center for Mathematics (HCM) at the University of Bonn brings together researchers in mathematics and its Applications, including in particular quantitative economics. In this framework the center is looking forward to filling up several?Postdoctoral Positions.

The initial Appointment will be for two (2) years with a possible one (1) year reAppointment. Expected starting date is no later than October 2022. Generally there are no teaching obligations, but such opportunities are provided if desired by the candidates

詳細(xì)信息

The University of Bonn is committed to diversity and equal opportunity. It is a certified family-friendly university and has a dual career-service. It aims to increase the proportion of women in areas where women are under-represented and to promote their careers in particular. It therefore especially invites women with relevant qualifications to Apply. Applications will be handled in accordance with Equal Opportunities Act of North Rhine-Westphalia (Landesgleichstellungsgesetz - LGG). Applications by suitable individuals with a certified severe disability and those of equal status are particularly welcome. The general conditions of empolyment are according to § 36 of the Higher Education Act of North Rhine-Westphalia (Hochschulgesetz des Landes Nordrhein-Westfalen).

申請材料

Your Application should contain a CV, a publication list and a research plan that fits the research interests of the HCM. Moreover, you have to choose one of the HCM research areas as well as a potential local mentor from among the Bonn based professors of the HCM listed under the respective research area.

In addition, we need by the deadline at least two letters of recommendation from scientists not associated with Bonn University. Applicants who have not yet completed their PhD are requested to include a two page summary of their dissertation project as well as a detailed evaluation written by his/her supervisor.?

截止日期

The deadline for Application is?October 15th, 2021.

Research Areas (RAs)

The research areas are clustered in three thematic sections:

Section A: Deep structures of spaces and invariants
Section B: High dimensionality, singularities, and radomness
Section C: Mathematical modeling, analysis, and algorithms

Section A: Deep structures of spaces and invariants

Section A comprises research on 'Deep structures of spaces and invariants' in the arithmetic, algebraic, geometric, and topological core areas of pure mathematics. We will address the formidable questions posed by the Langlands program, with its arithmetic as well as its representation-theoretic aspects. Cohomological, homotopical, and categorical methods will be developed to study fundamental problems in geometry and topology, ranging from integral p-adic Hodge theory, through L2-Invariants of manifolds, to algebraic K-theory.

RA A1: New frontiers in arithmetic and algebraic geometry

RA Leaders:?Daniel Huybrechts, Peter Scholze

Principal Investigators: Gerd Faltings, Daniel Huybrechts, Peter Scholze

Contributions by?Valentin Blomer,?Ana Caraiani (Imperial College London), Gebhard Martin, Lucia Mocz, Pieter Moree, Georg Oberdieck, Lillian Pierce (Duke University), Michael Rapoport, Yichao Tian (University of Strasbourg), Don Zagier

Central to modern arithmetic and algebraic geometry are the concepts of Shimura varieties, algebraic cycles, modular forms, and cohomology theories, with many interactions among them and links to other areas. For example, points on Shimura varieties parametrize motives, which can be understood either in terms of cohomology theories or in terms of algebraic cycles; functions on Shimura varieties are modular forms; and the cohomology of Shimura varieties realizes Langlands correspondences. We want to further our understanding, leading to new results on the Tate and Hodge conjectures, diophantine height estimates, the Langland conjectures, algebraic?K-theory, and the geometry of K3 surfaces.

RA A2: Representations and symmetries in algebra and topology

RA Leaders:?Stefan Schwede, Catharina Stroppel

Principal Investigators:?Wolfgang Lück, Peter Scholze, Stefan Schwede, Catharina Stroppel?

Contributions by?Pieter Belmans, Benjamin B?hme, Tobias Dyckerhoff (University of Hamburg), Thorsten Heidersdorf, Gustavo Jasso, Moritz Rahn, Jan Schr?er, Geordie Williamson (University of Sydney)

This research area focuses on problems where modern topological tools are brought to bear on algebraic and representation-theoretic problems, and where refined algebraic structures and additional symmetries facilitate computations in topology. Cohomological invariants and categorification techniques are essential and connecting concepts. Hecke algebras and group representations Appear in different disguises and are subject of our study through algebraic geometry, combinatorial and topological methods.

RA A3: Facets of geometry: manifolds, dynamics, and curvature

RA Leaders:?Wolfgang Lück,?Peter Teichner

Principal Investigators: Ursula Hamenst?dt, Daniel Huybrechts, Albrecht Klemm, Wolfgang Lück, Karl-Theodor Sturm, Peter Teichner

Contributions by?Oishee Banerjee, Christian Blohmann, Gaetan Borot, Carl-Friedrich B?digheimer, Mihajlo Cecik,?Fabian Hebestreit,?Daniel Kasprowski,?Matthias Kreck,?Werner Müller,?Martin Palmer-Anghel,?Arunima Ray,?Iuliia Semikina, Anna Siffert,?Christoph Winges, Xiaolei Wu

This research area aims for deep insights about manifolds, their automorphism groups and moduli spaces, and generalizations to metric measure spaces. This requires tools from various fields such as surgery theory, algebraic K-theory, measured and geometric group theory, harmonic analysis, and L2-invariants. We will combine forces to transfer techniques from one area to another. Among our main goals are the extension of the Farrell-Jones conjecture to reductive p-adic groups and new classification results for four-dimensional manifolds.??

Section B: High dimensionality, singularities, and randomness

Research in Section B will be devoted to the challenges of 'High dimensionality, singularities, and randomness'. We will deal with the demanding problems of universality beyond integrable models, convergence towards singular limit models, and understanding singular stochastic partial differential equations. analyzing structures and evolutions of singular spaces will be among our challenging aims. Furthermore, we will pursue research on high-dimensional Approximation in data spaces and on statistical analysis of large data sets.

RA B1: Probabilistic modeling and singular stochastic dynamics

RA Leaders:?Anton Bovier, Massimiliano Gubinelli

Principal Investigators: Anton Bovier, Massimiliano Gubinelli, Sven Rady, Karl-Theodor Sturm

Contributions by?Sergio Albeverio, Dan betea, Alexey Bufetov, Francesco de Vecchi, Andreas Eberle, Patrik Ferrari, Lorens Imhof, Muhittin Mungan, Elena Pulvirenti, Baris Evren Ugurcan, Jonas Wahl

The understanding of large-scale observables of probabilistic models is a central objective of probability theory. Leveraging our expertise on exact computations, asymptotic analysis, potential theory, coupling methods, control theory, multiscale and infinite-dimensional analysis, we will advance the understanding of basic mechanisms that drive large-scale observables. These involve extremal events ind highly correlated and high-dimensional random fields and their influence on complex and singular stochastic dynamics. The crucial task here is to identify universal asymptotic structures and to show convergence to these in a variety of particular situations, ranging from spatial branching processes, log-correlated Gaussian fields, and models of interface growth to singular stochastic partial differential equations and, on the Applied side, to models of strategic acquisition and transmission of information and Markov Monte Carlo methods.

RA B2: High dimensionality and data analysis

RA Leaders:?Michael Griebel, Alois Kneip

Principal Investigators: Michael Griebel, Alois Kneip

Contributions by?Bastian Bohn, Markus Bachmayr (University of Mainz), Christian Bayer, Jochen Garcke, Lena Janys, Dominik Liebl, Christian Rieger, Michael Vogt

The efficient treatment of large sets of high-dimensional data by machine learning methods is a major challenge in big data Applications. This project focuses on exploiting the low intrinsic dimensionality of nominally high-dimensional data sets to develop numerical and statistical techniques for the transformation and subsequent analysis of these sets. Our research will be driven by Applications in econometrics, macroecronomics, biostatistics, and engineering.

RA B3: Singular geometries, optimal transport, and geometry processing

RA Leader:?Karl-Theodor Sturm

Principal Investigators:?Benny Moldovanu, Martin Rumpf, Karl-Theodor Sturm

Contributions by?Werner Ballmann, Matthias Erbar, Batu Güneysu, Behrend Heeren, Ronan Herry, Leif Kobbelt (RWTH Aachen), Eva Kopfer, Matthias Lesch, Joe Neeman (University of Texas), Chiara Rigoni, Gerardo Sosa, Luca Tamanini, Koen van den Dungen

Concepts of transport have led to fundamental new insights in the geometry of metric measure spaces and to powerful tools in mechanism design, computer vision, and geometry processing. There is a deep connection between these developments which is a leitmotiv of this research area. We will push forward the geometric calculus on metric measure spaces with synthetic Ricci bounds and extend it to discrete and non-commutative geometries, quantum systems, and kinetic evolution equations. We will study the many facets of the heat trace and optimal design problems associated with small eigenvalues. Tools based on transport models will be developed further and Applied to problems of mechanism design, model uncertainty, and image processing. We aim to expand our Riemannian calculus on shape spaces and to combine it with shape statistics, machine learning, and shape semantic.?

Section C: Mathematical modeling, analysis, and algorithms

Research in Section C will deal with 'Mathematical modeling, analysis, and algorithms'. Our agenda includes the ambitious goal of understanding the relation between atomistic and continuum theories of solids through statistical mechanics and rigorous renormalization. We will advance our understanding of the role of information in economics and of fundamental algorithmic problems such as the traveling salesman problem. Moreover, we will derive sharp regularity results in analysis and optimal numerical discretization. This involves fundamental questions concerning frames and multiscale expansions.

RA C1: Mathematical modeling of matter and materials

RA Leaders:?Stefan Müller, Barbara Niethammer

Principal Investigators: Sergio Conti, Margherita Disertori, Stefan Müller, Ira Neitzel, Barbara Niethammer

Contributions by?Ulrich Brenner, Anne Driemel, Jens Franke, Stephan Held, Stefan Hougardy, Marek Karpinski, Thomas Kesselheim, Bernhard Korte, Dirk Müller, Petra Mutzel

Mathematical methods to analyze and connect descriptions of matter at different scales are crucial to understanding and designing advanced materials. Through strategic hiring, Bonn has built a powerful team to address key new challenges of the next decade in a close interaction of modeling, analysis, simulation, and optimization:? from toy models in statistical mechanics with discrete symmetries to more realistic models with continuous symmetries and phase transitions; from equilibrium, asymptotic self-similarity and local interactions to non-equilibrium, complex space-time behavior and long-range effects in kinetic equations; from energy based methods in statistics to the dynamics of defects and microstructure; from the simulation and analysis of single physics models to more realistic coupled real-world models, involving the full modeling-analysis-simulation-optimization cycle.

RA C2: Information economics

RA Leaders:?Benny Moldovanu, Sven Rady

Principal Investigators:?Benny Moldovanu, Sven Rady

Contributions by?Francesc Dilmé, Daniel Fershtman, Daniel Kr?hmer, Stephan Lauermann, Helene Mass, Ludmila Matyskova, Martin Pollrich, Frank Rosar, Dezs? Szalay, Ngoc Tran (University of Texas), Cedric Wasser, Mengxi Zhang, Boaz Zik

Information shapes the way individuals and groups make decisions. Modern economic theory recognizes information as a scarce good that is dispersed among many agents: time and resources have to be spent to acquire information, and individuals typically differ in the information generating technology they can deploy. The performance of institutions that govern collective decision-making crucially depends on the incentives they provide for individuals to acquire information, on their ability to aggregate information, and on the information to which they themselves give access. The research area thus focuses on three themes: information acquisition, information aggregation, and information design.

RA C3: Combinatorial optimization, complexity, and chip design

RA Leaders:?Heiko R?glin, Jens Vygen

Principal Investigators:?Heiko R?glin, Jens Vygen

Contributions by?Ulrich Brenner, Anne Driemel, Jens Franke, Stephan Held, Stefan Hougardy, Marek Karpinski, Thomas Kesselheim, Bernhard Korte, Dirk Müller, Petra Mutzel

The impact of combinatorial optimization to real-world Applications can hardly be overestimated. We study fundamental combinatorial optimization problems (such as the traveling salesman problem) and their complexity, and we devise and analyze efficient algorithms. We also design and implement algorithms for real-world Applications and benefit from the interplay between theory and practice. We have industrial cooperations with IBM and DHL, leading companies in two key Application areas: chip design and logistics. On the one hand, we show that mathematics makes the difference in such Applications, leading to better solutions. On the other hand, practical needs lead to new theoretical questions and to a refocusing of fundamental research. The theoretically best algorithms are often not the same as those that work best in practice; we aim to explain this phenomenon rigorously in order to narrow the gap between theory and practice.

RA C4: Harmonic analysis and numerical multiscale Approximation

RA Leaders:?Martin Rumpf, Christoph Thiele

Principal Investigators: Michael?Griebel, Martin Rumpf, Christoph Thiele

Contributions by?Alex Amenta, Markus Bachmayr, Carsten Burstedde, Felipe Goncalves, Herbert Koch, Van Kien Nguyen, Lillian Piece (Duke University), Olli Saari, Leonardo Tolomeo, Pavel Zorin-Kranich

This research area focuses on multiscale phenomena, which are the core of many open problems in pure and Applied mathematics. Harmonic analysis, in particular the analysis of function spaces and frames as well as optimal Approximation therein, plays a fundamental role in the study of these phenomena. The theory of Riesz bases and multiscale expansions is used in time-frequency analysis and in modern Approaches to numerical discretization. We develop and use sharp estimates in suitable choices of function spaces to establish well-posedness of PDEs and to derive efficient a posteriori estimates for nonconvex variational problems. We study dispersive equations from the rough-path perspective, and we investigate the interplay between multiscale frame representations of random fields and the Approximation of PDEs with stochastic coefficients.

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