13,277 reputation
22649
bio website nd.edu/~lnicolae
location University of Notre Dame
age 49
visits member for 2 years, 3 months
seen 10 hours ago
I do mostly geometry and topology, with an analytic bias. For the past few years Morse theory has popped up in my research, but not in a conventional way.

5h
awarded  Nice Answer
Apr
17
revised Tomography problem involving a set of point masses
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Apr
17
revised Tomography problem involving a set of point masses
added 303 characters in body
Apr
16
revised Tomography problem involving a set of point masses
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Apr
16
revised Tomography problem involving a set of point masses
added 929 characters in body
Apr
16
revised Tomography problem involving a set of point masses
added 99 characters in body
Apr
16
awarded  Nice Answer
Apr
16
revised Tomography problem involving a set of point masses
added 53 characters in body
Apr
16
answered Tomography problem involving a set of point masses
Apr
16
revised What is a Gaussian measure?
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Apr
15
reviewed Reject suggested edit on nontrivial theorems with trivial proofs
Apr
15
revised How to define the square root of $1-\Delta $?
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Apr
15
comment What is “tilting” in the context of large deviations?
There is a brief discussion of tilting in section 23.4 of Klenke's book Probability Theory. A Comprehensive Course, Springer Verlag, 2008.
Apr
15
comment Reference Request: Algebraic Serre's Duality Theorem for Curves
Try Serre's book Algebraic Groups and Class Fields, Chapter IV.
Apr
15
answered How to define the square root of $1-\Delta $?
Apr
14
revised euler class of the normal bundle and self intersection number
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Apr
7
comment Topological degree and polynomial degree
@ Edson. I fixed an omission in my proof. You can get more interesting answers if in my proof you choose $K$ to be a knot disjoint from $C$ and having large linking number with $C$. I believe that $T$ as defined by you is equal to this likinking number.
Apr
7
revised Topological degree and polynomial degree
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Apr
3
revised Topological degree and polynomial degree
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Apr
3
comment If there is a diffeomorphism between two surfaces, what is the relation between Laplace-Beltrami operators on the surfaces?
The answer is not pretty.