Carl McTague
mathematician, composer, hacker, photographer, fiddler
email:	first dot last name at bc dot edu
post:	Boston College Chestnut Hill, MA 02467, USA

Interests: Topology & Algebraic Geometry, Formal Methods, Computational Homotopy Theory, Geometric Methods in Generative Music Composition.

Biographics: CV, photo.

Blog: Central Limit Theorem Music Video, Computing p-Typical FGL’s, Two Favorite Inventions, Clifford & Marx, Cayley Lane, Dynamics of Fibonacci №’s, How to Recognize Generators for String Bordism, After Laocoön [or Before?], Binomial Coefficients & Villainy, Seminar Web Design, Comments on a Paper of Karcher, Noah in Norwich, Computing Hirzebruch L-Polynomials, Catullus of the Canopy, Dürer’s Melencolia I, Existential Angst, How to Optimize a Codex,…, How Twisted Is Infinity? (RSS)

Compositions: In Medias Res, ’Round Midnight, The Lyre of Ur, Ripples Through Pitch Space, Portrait of Poincaré, (ii-V-I)⁷, Six Integers.

Publications:

• A New Algorithm for Computing the EHP Sequence, in preparation.
• Formal Verification of a New Algorithm for Computing the EHP Sequence, in preparation.
• String Cobordism at the Prime 3, with Vitaly Lorman and Doug Ravenel, in preparation.
• A New Approach to Euler Calculus for Continuous Integrands, preprint.
• On the Greatest Common Divisor of Binomial Coefficients (

  n

  q

  ), (

  n

  2q

  ), (

  n

  3q

  ),…, Amer. Math. Monthly 124-4 (2017) 353–356.
• Shrinking the Fibers of a Submersion Splits the Riemann Tensor, preprint.
• tmf Is Not a Ring Spectrum Quotient of String Bordism, New Directions in Homotopy Theory, Contemp. Math., 707 (2018) 67–76.
• The Cayley Plane and String Bordism, Geometry & Topology 18-4 (2014) 2045–2078.
• The Cayley plane and the Witten genus, preprint.
• Stiefel-Whitney Numbers for Singular Varieties, Math. Proc. Camb. Phil. Soc. 150 (2011) 273–289.
• Stratified Morse Theory, unpublished expository essay written for Part III of the Cambridge Tripos, 2005.
• The Organization of Intrinsic Computation: Complexity-Entropy Diagrams and the Diversity of Natural Information Processing, with DP Feldman and JP Crutchfield, Chaos 18-4 (2008) 59–73.
• Automated Pattern Detection—An Algorithm for Constructing Optimally Synchronizing Multi-Regular Language Filters, with JP Crutchfield, Theoretical Computer Science 359 (2006) 306–328.

Talks:

• New Applications of Differential Geometry to Big Data, 2014 Topology Seminar, Edinburgh.
• A New Approach to Euler Calculus for Continuous Integrands, 2012 ATMCS 5, Edinburgh.
• How Twisted Is Infinity?, 2007 McMenemy Seminar, Trinity Hall Cambridge.
• Characteristic, Signature, and Singularity, 2006 Fulbright Seminar, Berlin.
• Music Through Computation, invited keynote speech at IMS2003, Imperial College London.

Teaching: Knot Theory, Honors Analysis, Honors Multivariable Calculus, Differential Equations, Linear Algebra.

Miscellanea: Signature Optimizer for Bookbinding, Topological Methods in Algebraic Advertising, Blow-up, Escaping the Flood of Time, Egon’s Twinkie, Bach’s 🎻 Partita № 2, A Much Deserved Pie in the Face.

Fiddling: The Scholar (kitchen), Solo jigs, reels, and more reels (live). Duo reels and jigs with uilleann piper Tim Benson (studio).

Inspiration: Doug Ravenel, Jack Morava, Andrew Ranicki, Burt Totaro, Tommy Peoples, Conlon Nancarrow.