381:
31:
220:
Culler is one of the authors of a 1994 paper called "Plane curves associated to character varieties of 3-manifolds" which introduced the A-polynomial of a knot or, more generally, of a 3-manifold with one torus boundary component.
538:
533:
513:
508:
543:
372:
D. Cooper, M. Culler, H. Gillet, D. D. Long and P. B. Shalen. Plane curves associated to character varieties of 3-manifolds. Invent. Math., 118(1):47--84, 1994.
498:
493:
139:
302:
Culler, Marc; Shalen, Peter B. Varieties of group representations and splittings of 3-manifolds. Ann. of Math. (2) 117 (1983), no. 1, 109–146.
226:
143:
68:
147:
178:
and they have co-authored many papers. Culler and Shalen did joint work that related properties of representation varieties of
518:
393:
311:
Culler, Marc; Gordon, C. McA.; Luecke, J.; Shalen, Peter B. Dehn surgery on knots. Ann. of Math. (2) 125 (1987), no. 2, 237–300
195:
503:
235:
405:
213:
called "Moduli of graphs and automorphisms of free groups". This paper introduced an object that came to be known as
330:
135:
103:
528:
431:
203:
191:
131:
99:
78:
183:
251:
179:
523:
339:
291:
322:
234:
Research Fellow (1986–1988) and a UIC University
Scholar (2008). In 2014, he became a Fellow of the
171:
410:
355:
199:
187:
115:
347:
231:
110:
272:
269:
343:
473:
210:
487:
359:
468:
182:
groups to decompositions of 3-manifolds. In particular, Culler and Shalen used the
175:
163:
167:
151:
453:
154:
who was an important early innovator in the development of the
Internet.
30:
351:
214:
82:
478:
209:
Another important contribution by Culler came in a 1986 paper with
130:(born November 22, 1953) is an American mathematician who works in
442:
249:
Varieties of group representations and splittings of 3-manifolds.
138:. A native Californian, Culler did his undergraduate work at the
257:
Culler, Marc; Gordon, C. McA.; Luecke, J.; Shalen, Peter B.
261:
Annals of
Mathematics (2) 125 (1987), no. 2, 237–300.
454:
List of
Fellows of the American Mathematical Society
323:"Moduli of graphs and automorphisms of free groups"
109:
95:
74:
64:
56:
40:
21:
268:A. Proc. Amer. Math. Soc., 124(3):677—683, 1996.
474:Marc Culler at the Mathematics Genealogy Project
186:, applied to the function field of the SL(2,C)-
539:Institute for Advanced Study visiting scholars
194:in the manifold. Based on this work, Shalen,
432:UIC News: 2008 University Scholar Marc Culler
190:of a 3-manifold, to obtain information about
146:where he graduated in 1978. He is now at the
8:
534:Fellows of the American Mathematical Society
18:
514:University of California, Berkeley alumni
140:University of California at Santa Barbara
266:A group-theoretic criterion for property
284:
509:University of Illinois Chicago faculty
321:Culler, Marc; Vogtmann, Karen (1986),
174:. Culler frequently collaborates with
544:People from Santa Barbara, California
7:
499:21st-century American mathematicians
494:20th-century American mathematicians
406:"90 Scientists Win Research Grants"
227:The New York Journal of Mathematics
69:University of California, Berkeley
14:
264:Marc Culler and Karen Vogtmann;
254:. (2) 117 (1983), no. 1, 109–146.
215:Culler–Vogtmann Outer space
148:University of Illinois at Chicago
292:People in Geometric Group Theory
247:Culler, Marc; Shalen, Peter B.;
29:
394:New York Journal of Mathematics
1:
236:American Mathematical Society
382:The A-polynomial and the FFT
166:, low dimensional topology,
35:Photograph by Roberta Devlin
469:Publications of Marc Culler
83:Culler–Vogtmann Outer space
560:
479:Culler's home page at UIC
142:and his graduate work at
121:
88:
28:
331:Inventiones Mathematicae
202:, and Culler proved the
150:. Culler is the son of
136:low-dimensional topology
104:low-dimensional topology
224:Culler is an editor of
192:incompressible surfaces
519:Sloan Research Fellows
259:Dehn surgery on knots.
204:cyclic surgery theorem
162:Culler specializes in
132:geometric group theory
100:geometric group theory
79:cyclic surgery theorem
16:American mathematician
252:Annals of Mathematics
242:Selected publications
180:hyperbolic 3-manifold
116:John Robert Stallings
504:American topologists
344:1986InMat..84...91C
172:hyperbolic geometry
443:UIC College awards
411:The New York Times
352:10.1007/BF01388734
128:Marc Edward Culler
188:Character variety
184:Bass–Serre theory
152:Glen Jacob Culler
125:
124:
90:Scientific career
44:November 22, 1953
551:
456:
451:
445:
440:
434:
429:
423:
422:
420:
419:
402:
396:
391:
385:
379:
373:
370:
364:
363:
327:
318:
312:
309:
303:
300:
294:
289:
232:Sloan Foundation
111:Doctoral advisor
51:
49:
33:
19:
559:
558:
554:
553:
552:
550:
549:
548:
484:
483:
465:
460:
459:
452:
448:
441:
437:
430:
426:
417:
415:
414:. March 9, 1986
404:
403:
399:
392:
388:
384:, in PDF format
380:
376:
371:
367:
325:
320:
319:
315:
310:
306:
301:
297:
290:
286:
281:
244:
160:
102:
81:
65:Alma mater
47:
45:
36:
24:
17:
12:
11:
5:
557:
555:
547:
546:
541:
536:
531:
526:
521:
516:
511:
506:
501:
496:
486:
485:
482:
481:
476:
471:
464:
463:External links
461:
458:
457:
446:
435:
424:
397:
386:
374:
365:
313:
304:
295:
283:
282:
280:
277:
276:
275:
262:
255:
243:
240:
211:Karen Vogtmann
196:Cameron Gordon
159:
156:
123:
122:
119:
118:
113:
107:
106:
97:
93:
92:
86:
85:
76:
75:Known for
72:
71:
66:
62:
61:
58:
54:
53:
42:
38:
37:
34:
26:
25:
22:
15:
13:
10:
9:
6:
4:
3:
2:
556:
545:
542:
540:
537:
535:
532:
530:
529:Living people
527:
525:
522:
520:
517:
515:
512:
510:
507:
505:
502:
500:
497:
495:
492:
491:
489:
480:
477:
475:
472:
470:
467:
466:
462:
455:
450:
447:
444:
439:
436:
433:
428:
425:
413:
412:
407:
401:
398:
395:
390:
387:
383:
378:
375:
369:
366:
361:
357:
353:
349:
345:
341:
338:(1): 91–119,
337:
333:
332:
324:
317:
314:
308:
305:
299:
296:
293:
288:
285:
278:
274:
271:
267:
263:
260:
256:
253:
250:
246:
245:
241:
239:
237:
233:
229:
228:
222:
218:
216:
212:
207:
205:
201:
197:
193:
189:
185:
181:
177:
173:
169:
165:
157:
155:
153:
149:
145:
141:
137:
133:
129:
120:
117:
114:
112:
108:
105:
101:
98:
94:
91:
87:
84:
80:
77:
73:
70:
67:
63:
59:
55:
52:(age 70)
43:
39:
32:
27:
20:
449:
438:
427:
416:. Retrieved
409:
400:
389:
377:
368:
335:
329:
316:
307:
298:
287:
265:
258:
248:
225:
223:
219:
208:
176:Peter Shalen
164:group theory
161:
127:
126:
89:
524:1953 births
230:. He was a
200:John Luecke
168:3-manifolds
57:Nationality
23:Marc Culler
488:Categories
418:2024-04-11
279:References
48:1953-11-22
360:122869546
144:Berkeley
60:American
340:Bibcode
273:1307506
46: (
358:
170:, and
96:Fields
356:S2CID
326:(PDF)
158:Work
134:and
41:Born
348:doi
490::
408:.
354:,
346:,
336:84
334:,
328:,
270:MR
238:.
217:.
206:.
198:,
421:.
362:.
350::
342::
50:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
