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David Gay's Home

I am a senior researcher at Euclid Lab and I am the lead mentor for Camp Euclid. My main area of research is 4-dimensional geometry and topology. I obtained my Ph.D. in mathematics from the University of California, Berkeley under the supervision of Robion Kirby and have worked as a research mathematician since 1999. I am an Assistant Professor at the University of Georgia.
If you see a green light in the left panel, that means I am online and you can click on the webcam/microphone/chat icons to visit me in my virtual office.
- Curriculum Vitae: This is a link to a pdf version of my CV.
- Research: I have been working since 1996 on problems related to constructions of smooth 4-manifolds with additional geometric structures related to symplectic and contact geometry. I am currently wrapped up in an active collaboration with Rob Kirby, thinking about using generic maps from 4-manifolds to the 2-sphere to get at a combinatorial/topological understanding of smooth 4-manifold invariants. Other recent, more-or-less ongoing and/or potential collaborators include Margaret Symington, Andras Stipsicz, Aaron Abrams, Valerie Hower, Olguta Buse, Bruce Bartlett and Thomas Mark.
- Blog: You can read my research blog here.
- Teaching: I have taught a wide range of university-level mathematics courses, ranging from graduate courses in knot theory and algebraic topology to college algebra courses and courses for future elementary and high school teachers. I am currently teaching "Foundations of Geometry II" and "Morse and Cerf Theory". Notes for my "Morse and Cerf Theory" course are being prepared here. In the summer of 2010 I ran two workshops at UC Berkeley for their topology RTG program.
- Outreach: I have given many mathematics enrichment talks at local high schools in communities as diverse as rural Quebec and the townships of Cape Town. I am currently helping the University of Georgia MathCounts Outreach program start up an Athens Math Circle.
- Publications: Below is a list of my publications in reverse chronological order:




