Jimmy Mathews -- personal webpage

I am a researcher in the Nadeem Lab at Memorial Sloan Kettering Cancer Center. I was previously a scientific data engineer at the Allen Institute, a postdoctoral researcher in the Deasy Lab, and before that a PhD student in the mathematics department at Stony Brook University.

Actor:	Willem Dafoe
Comedians:	Alan Resnick, David Mitchell, Robert Webb, Richard Ayoade
Musician:	Dan Deacon
Game designer:	Nifflas
Scientists:	Jean Gaston Darboux, David Hull, Robert Bryant, Sergei Tabachnikov
Algebraic variety:	G(2,4)
Lie algebra:	so(3)

Some of my research interests:

Other interests:

2020	Functional network analysis reveals an immune tolerance mechanism in cancer Joint with Saad Nadeem, Maryam Pouryahya, Zehor Belkhatir, Joseph O. Deasy, Arnold J. Levine, Allen Tannenbaum
2019	Robust and interpretable PAM50 reclassification exhibits survival advantage for myoepithelial and immune phenotypes Joint with Saad Nadeem, Arnold J. Levine, Maryam Pouryahya, Joseph O. Deasy, and Allen Tannenbaum
2019	Isotropic and Coisotropic Subvarieties of Grassmannians Primary author Kathlen Kohn
2018	A Schur transform for spatial stochastic processes
2018	Molecular phenotyping using networks, diffusion, and topology: soft tissue sarcoma Joint with Maryam Pouryahya, Caroline Moosmüller, Ioannis Kevrekidis, Joseph O. Deasy, and Allen Tannenbaum
2017	Curve jets, submanifolds families, and envelopes My PhD thesis.
2016	Multi-focal tensors as invariant differential forms

SPT	Spatial Profiling Toolbox for spatial characterization of the tumor microenvironment in multiplex images. A deployment is live at https://oncopathtk.org .
coincidencetest	A library implementing an exact test for co-occurrence of multiple binary features.

	Summary notes of Ehresmann and Vanbremeersch Memory Evolutive Systems Part A and Part B.
	Handout about curve jets, from a talk at TU Berlin (September 2017)
	Multi-focal tensors as invariant differential forms, and envelopes of line congruences SIAM mini-symposium on algebraic vision, in Atlanta, Georgia (July 2017)

	A dividing ball is shown (left) together with its space of bitangent lines (right).
	The envelope of a 1-parameter line family in the 2D plane, illustrated by means of the surface in 3D slope-space corresponding to the first derivative (contact elements) of the line family.
	The envelope of a certain 1-parameter family of quadric surfaces is 2 spheres.
	The (first order) envelope of a certain 1-parameter family of quadric surfaces is a standard quartic torus.
	The (first order) envelope of a certain 1-parameter family of plane conics is 2 circles.
	The envelope of the wavefronts emitted at speed c by a point source, also moving at constant speed c, along a given circle (blue). This is a second-order envelope, with family members making order 2 contact with the envelope curve.
	The apparent contour (blue) of a standard quartic torus, shown from the point of viewing (left), and from another angle (right). High resolution images here and here.
	An interesting linkage.
	A torus embedding in SO(3), in a 3-dimensional disc chart for SO(3).

	A triple front tuck.
	A bony growth on the upper part of my right mandibular condyle, caused by an injury during a martial arts class. CT scan at about 3 months post-injury. You also get a good view of my unerupted upper-right wisdom tooth.