Boris Hasselblatt, Professor

Tufts University
Medford, MA 02155-5597

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Books I have written or edited:
Introduction to the Modern Theory of Dynamical SystemsIntroduction to the Modern Theory of Dynamical SystemsIntroduction to the Modern Theory of Dynamical SystemsIntroduction to the Modern Theory of Dynamical SystemsIntroduction to the Modern Theory of Dynamical Systems
Handbook of Dynamical Systems 1AA First Course in DynamicsA First Course in DynamicsA First Course in DynamicsA First Course in Dynamics
Modern Dynamical Systems and ApplicationsHandbook of Dynamical Systems 1BDynamics, ergodic theory and geometryHandbook of Dynamical Systems 3

Journals and book series on whose boards I serve:
Electronic Research Announcements of the American Mathematical SocietyElectronic Research Announcements in Mathematical Sciences
Journal of Modern DynamicsAtlantis Studies in Dynamical Systems

Some articles:

  • Contact Anosov flows on hyperbolic 3-manifolds
  • Longitudinal foliation rigidity and Lipschitz-continuous invariant forms for hyperbolic flows
  • Zygmund strong foliations in higher dimension
  • Lipschitz-continuous invariant forms for algebraic Anosov systems
  • Pointwise hyperbolicity implies uniform hyperbolicity
  • The Sharkovsky Theorem: A natural direct proof
  • Entropy
  • Degree
  • Zygmund rigidity
  • Hyperbolic dynamics
  • Nonuniform hyperbolicity
  • Pesin entropy formula
  • Select publication information is available if you or your institution have a MathSciNet subscription:
  • My publications, reviews, select citations
  • A select citation count
  • Reviews of some of my publications; a stale version of this is here for those without an MR subscription.
  • A small sample of the reviews I have written
  • My Erdös number
  • My collaboration distance to Avila, Bhargava, Hairer, Mirzakhani (Fields medalists 2014),
    Lindenstrauss, Ngó, Smirnov, Villani (Fields medalists 2010).
  • Biographical information


    Tufts Now


    Science Magazine on draft NSF guidance on broader impacts


    A 2013 Tokyo lecture on exotic contact Anosov flows and Godbillon-Vey numbers
    Summing up my 2013-2014 sabbatical as Chaire Jean Morlet in Marseille
    Trying to answer fun questions in Marseille...
    Why my 2013-14 year abroad in Marseille?
    Why I am away in the summer
    The Big Picture
    Viewing your future as a PhD student: Talk to the Organization of Graduate Students of Mathematics at Tufts
    The Poincaré Institute for Mathematics Education at Tufts University
    Tufts University Commencement and Baccalaureate Service 2014
    Tufts University Baccalaureate Service 2013
    Tufts University Baccalaureate Service 2012
    Tufts University Baccalaureate Service 2011
    Tufts University Commencement 2013
    Tufts University Commencement 2012
    Tufts University Commencement 2011
    Tufts Presidential Inauguration 2011
    Trinity Church in Boston reopens after blasts

    On location...

    I have given talks (or served on a jury) in a Hilbert space, a Banach space, a Baire space, a Schwartz space and in a Fourier series.

    Salient values of trigonometric functions

    I noticed this pattern in the early 1990s but learned that I am far from being the first to have done so (Jean-Luc Eveno heard this some 20 years earlier from a teacher and surmises that it has been teachers' lore for generations before)—if you have seen this published anywhere I'd be interested in knowing:
    \(x\) in degrees:\(0^\circ\)\(30^\circ\)\(45^\circ\)\(60^\circ\)\(90^\circ\)
    \(x\) in radians:\(0\)\(\displaystyle\frac\pi6\)\(\displaystyle\frac\pi4\)\(\displaystyle\frac\pi3\)\(\displaystyle\frac\pi2\)

    Mathematical limericks

    A Dozen, a Gross, and a Score,
    plus three times the square root of four,
      divided by seven,
      plus five times eleven,
    equals nine squared and not a bit more.
        — Jon Saxton


    Integral z-squared dz
    from 1 to the cube root of 3
      times the cosine
      of three pi over 9
    equals log of the cube root of 'e'.
        — Betsy Devine and Joel E. Cohen
            in: Absolute Zero Gravity, Simon and Schuster, 1992, p.37.