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Sample Qualifying Exams

Sample Qualifying Exams

Some old departmental qualifying exams are available here (all links are PDF’s)

Fall(Questions) Fall(Solutions) Spring(Questions) Spring(Solutions)
2023 Solutions 2023 Solutions
2022 Solutions – –
2021 Solutions 2021 Solutions
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2019 Solutions – –
2018 Solutions 2018 –
2017 – – –
2016 Solutions 2016 Solutions
2015 Solutions 2015 Solutions
2014 Solutions 2014 Solutions
2013 Solutions 2013 Solutions
2012 Solutions 2012 –
2011 – 2011 Solutions
2010 Solutions 2010 Solutions
2009 Solutions 2009 –
2008 Solutions 2008 –
2007 – 2007 –
2006 – 2006 –
2005 – 2005 –
2004 – 2004 –
2003 – 2003 –
2002 – – –
2001 – – –
2000 – 2000 –
1999 – – –
– – 1997 –
1996 – – –
– – 1995 –

Some old qualifications questions from 1990-2002 [PDF]
Some PDF files of questions arranged by topics.

  • ODE
  • complexity
  • algebra
  • algebra
  • PDE’s
  • C* algebras
  • topology
  • probability
  • algebraic geometry
  • differential topology
  • geometry
  • representation theory
  • algebraic topology
  • dynamics

Collected by Danny Calegari and Tom Coates.

  • groups
  • semigroups
  • banach spaces
  • fluid mechanics
  • manifolds
  • combinatorics
  • foundations
  • measure theory
  • commutative algebra
  • galois theory
  • noncommutative rings
  • universal algebra
  • complex analysis
  • game theory
  • numerical analysis
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