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SUMMARY:Kirsten Eisenträger (Penn State University)
DTSTART:20200425T201000Z
DTEND:20200425T210000Z
DTSTAMP:20260416T174636Z
UID:FRNTD/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FRNTD/3/">Co
 mputing endomorphism rings of supersingular elliptic curves</a>\nby Kirste
 n Eisenträger (Penn State University) as part of Front Range Number Theor
 y Day\n\n\nAbstract\nComputing endomorphism rings of supersingular ellipti
 c curves is an important\nproblem in computational number theory\, and it 
 is also closely connected to the security of\nsome of the recently propose
 d isogeny-based cryptosystems. In this talk we give a new\nalgorithm for c
 omputing the endomorphism ring of a supersingular elliptic curve. The algo
 rithm\nworks by first computing two cycles in the l-isogeny graph that cre
 ate an order in the\nendomorphism ring of the curve E. Then we determine w
 hich maximal order containing this\norder is the endomorphism ring of E.\n
 This is joint work with Hallgren\, Leonardi\, Morrison and Park.\n
LOCATION:https://researchseminars.org/talk/FRNTD/3/
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