Below are more specific research areas along with the names of faculty members most closely involved, for the 2015-2016 academic year.

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**Algebraic and Geometric Topology**
   * Laura Anderson
   * Robert Bieri
   * F. Thomas Farrell
   * Ross Geoghegan
   * Andrey Gogolev
   * Christoforos Neofytidis
   * Tam Nguyen-Phan
   * Pedro Ontaneda
   * Matthew Zaremsky
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**Algebra related to logic and computer science**

   * Fernando Guzman
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**Arithmetic Algebraic Geometry**

   * Alexander Borisov
   * Daniel Vallieres
   * Adrian Vasiu
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**Bayesian Statistics**

   * Zuofeng Shang
   * Ganggang Xu

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**Combinatorial Geometry**

   * Laura Anderson
   * Thomas Zaslavsky
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**Combinatorics**

   * Laura Anderson
   * William Kazmierczak
   * Vaidyanathan Sivaraman
   * Thomas Zaslavsky
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**Geometric Analysis**

   * Magdalena Czubak
   * Andrey Gogolev
   * Ye Li
   * Paul Loya
   * Tam-Phan Nguyen
   * Pedro Ontaneda
   * Peng Shao
   * Xiangjin Xu
</WRAP>

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**Geometric Group Theory**

   * Robert Bieri
   * Matthew Brin
   * Ross Geoghegan
   * Fernando Guzman
   * Matthew Zaremsky
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**Geometry of Manifolds**

   * F. Thomas Farrell
   * Andrey Gogolev
   * Christoforos Neofytidis
   * Tam Nguyen-Phan
   * Pedro Ontaneda
</WRAP>
</WRAP>

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**Graph Theory**

   * William Kazmierczak
   * Vaidyanathan Sivaraman
   * Thomas Zaslavsky
</WRAP>

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**Group Theory**

   * Robert Bieri
   * Joseph Brennan
   * Benjamin Brewster
   * Matthew Brin
   * Ross Geoghegan
   * Fernando Guzman
   * Luise-Charlotte Kappe
   * Marcin Mazur
   * Matthew Zaremsky
</WRAP>


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**Nonparametric Statistics**

   * Anton Schick
   * Zuofeng Shang

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**Number Theory**

   * Alexander Borisov
   * Luise-Charlotte Kappe
   * Marcin Mazur
   * Daniel Vallieres
   * Adrian Vasiu
</WRAP>



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**Partial Differential Equations**

   * Magdalena Czubak
   * Paul Loya
   * Peng Shao
   * Xiangjin Xu
</WRAP>

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**Probability and Statistics**

   * Withanage De Mel
   * Vladislav Kargin
   * Aleksey Polunchenko
   * Xingye Qiao
   * Anton Schick
   * Grigory Sokolov
   * Ganggang Xu
   * Qiqing Yu
</WRAP>

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**Representation Theory**

   * Alex Feingold
   * Dikran Karagueuzian
   </WRAP>

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**Statistical Learning and Data Mining**

   * Xingye Qiao
   * Ganggang Xu
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</WRAP>
</WRAP>