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as
Tamarkin Assistant Professor of Mathematics in 1982. She moved from Brown to Pennsylvania State University in 1991. At Pennsylvania State, she was co-director of the Center for Geometry and Mathematical Physics.
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Another result, also called "Brylinski's theorem", comes from a paper written jointly by
Brylinski and her husband, characterizing
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34:, she left academia in 2003 to found the mathematical consulting company Brylinski Research with her husband,
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90:. She is also known for Brylinski's theorem, a theorem from her dissertation on the closures of orbits of
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is named after her. She originally developed this filtration in 1989, motivated by earlier work of
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After a year as an NSF Mathematical
Sciences Postdoctoral Fellow at MIT, she joined the faculty at
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Hague, Chuck (2009), "Cohomology of flag varieties and the
Brylinski-Kostant filtration",
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22:(née Gupta, born January 28, 1957) is an American mathematician known for her research in
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Brylinski, Ranee (1997), "Quantization of the 4-dimensional nilpotent orbit of
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Brylinski, Jean-Luc; Brylinski, Ranee (2002), "Universal quantum gates",
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Brylinski, Ranee
Kathryn (1989), "Limits of weight spaces, Lusztig's
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141:(Chapman & Hall/CRC, 2002). She is also one of the editors of
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Massachusetts
Institute of Technology School of Science alumni
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The 3rd G de B Robinson Award: Biographical
Information
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Lie Theory and
Geometry: In Honor of Bertram Kostant
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275:{\displaystyle \mathrm {SL} (3,\mathbb {R} )}
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183:-analogs, and fiberings of adjoint orbits",
509:(2009), "On a theorem of Ranee Brylinski",
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30:. Formerly a professor of mathematics at
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56:Massachusetts Institute of Technology
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82:The Brylinski–Kostant filtration of
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60:Abelian Algebras and Adjoint Orbits
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139:Mathematics of Quantum Computation
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545:Quantum Information Processing
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113:in 1990. In 1998, she won the
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437:Mathematics Genealogy Project
152:Her research papers include:
119:Canadian Mathematical Society
99:universal quantum logic gates
32:Pennsylvania State University
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617:Princeton University alumni
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567:10.1007/s11128-005-7655-7
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111:Sloan Research Fellowship
622:Brown University faculty
115:G. de B. Robinson Award
20:Ranee Kathryn Brylinski
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46:Brylinski was born in
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145:(Springer, 1994) and
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50:. She graduated from
24:representation theory
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147:Advances in Geometry
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42:Education and career
433:Ranee Kathryn Gupta
28:quantum logic gates
541:Kauffman, Louis H.
451:Journal of Algebra
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149:(Springer, 1999).
36:Jean-Luc Brylinski
458:(12): 3790–3815,
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176:{\displaystyle q}
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602:1957 births
105:Recognition
596:Categories
420:2018-10-06
388:2018-10-06
345:References
135:Goong Chen
465:0803.3424
223:11590624
583:2067641
575:2187341
527:2555973
482:2517813
435:at the
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117:of the
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579:S2CID
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414:(PDF)
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219:S2CID
203:JSTOR
133:With
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235:Q4D.
158:LWS.
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