31:
221:. The latter models the spread of an infection on a d-dimensional grid, whereby nodes are infected in each time step in which at least r neighbors have already been infected. It is based on a randomly chosen starting structure and Bollobás, Balogh,
229:
proved an asymptotic (for large grids) formula for the threshold probability that the whole grid is infected, depending on d and r. He had previously treated the three-dimensional case with r = 3 with Bollobás and Morris.
178:. He studied at the University of Szeged (with one year TEMPUS grant at the University of Ghent), where he received his M.S, in mathematics in 1995 with advisor Péter Hajnal and thesis
582:
210:
he was an assistant professor from 2005 to 2010 and an associate professor from 2010 to 2013 and is since 2013 a full professor. From 2009 to 2011 he was also an associate professor at
592:
419:
337:
207:
87:
567:
562:
36:
379:
with Hong Liu, Maryam
Sharifzadeh, Andrew Treglown: The number of maximal sum-free subsets of integers, Proc. AMS, vol. 143, 2015, pp. 4713–4721,
361:
with N. Alon, R. Morris, W. Samotij: A refinement of the
Cameron-Erdös Conjecture, Proc. London Mathematical Society, vol. 108, 2014, pp. 44–72.
247:
261:, "for contributions to extremal combinatorics, probability and additive number theory, and for graduate mentoring". In 2024 he was awarded the
577:
238:
In 2007 he received an NSF Career Grant. In 2013/14 and 2020 he was a Simons Fellow, in 2013/14 Marie Curie Fellow. In 2016 he received the
572:
355:, R. Morris: The sharp threshold for bootstrap percolation in all dimensions, Trans. Amer. Math. Soc., vol. 364 2012, pp. 2667–2701.
174:
at Ságvári Endre
Gyakorló Gimnázium (a special school for mathematics). As a student, he won two silver medals (in 1989 and 1990) at the
300:
with B. Bollobas, Robert Morris: Bootstrap percolation in three dimensions. Annals of
Probability, vol. 37, 2009, pp. 1329–1380.
211:
175:
367:
with Sarka
Petrickova: The number of the maximal triangle-free graphs, Bull. London Math. Soc., vol. 46, 2014, pp. 1003–1006.
385:
with J. Solymosi, On the number of points in general position in the plane, Discrete
Analysis (2018), Paper No. 16, 20 pp.
266:
258:
226:
199:
294:: The number of edge colorings with no monochromatic cliques, J. London Math. Soc., vol. 70, 2004, pp. 273–288.
340:
195:
217:
Balogh's research deals with extremal and probabilistic combinatorics (especially graph theory) and bootstrap
445:"28th Cumberland Conference on Combinatorics, Graph Theory & Computing Speaker, Jozsef Balogh (Plenary)"
345:
with John Lenz: Some Exact Ramsey-Turan
Numbers, Bull. Lond. Math. Soc., vol. 44, 2012, pp. 1251–1258.
557:
262:
203:
183:
30:
239:
449:
Interdisciplinary
Mathematics Institute, University of South Carolina, Cumberland, SC, May 15–17, 2015
587:
444:
187:
99:
373:
with Morris, Samotij: Independent sets in hypergraphs, J. AMS, vol. 28, 2015, pp. 669–709,
352:
222:
218:
391:
309:
270:
243:
112:
94:
504:
465:
251:
486:
551:
291:
287:
155:
73:
151:
77:
539:
167:
295:
130:
69:
283:
524:
388:
with R. Morris, W. Samotij, L. Warnke: The typical structure of sparse
51:
339:-free graphs, J. Lond. Math. Soc., vol. 83, 2011, pp. 368–388,
171:
422:
380:
374:
368:
362:
356:
346:
301:
194:. As a postdoc Balogh was at AT&T Shannon Laboratories in
202:. From 2002 to 2005 he was Zassenhaus Assistant Professor at
150:
is a
Hungarian-American mathematician, specializing in
421:-free graphs., Transactions AMS, 368 (2016) 6439–6485.
394:
312:
125:
105:
93:
83:
65:
44:
21:
413:
331:
265:for Seminal Contribution to Research jointly with
473:Department of Mathematics, University of Illinois
257:He was named to the 2023 class of Fellows of the
182:. In 2001 Balogh received his doctorate from the
583:University of Illinois Urbana-Champaign faculty
246:. In 2018 Balogh was an invited speaker at the
8:
593:Fellows of the American Mathematical Society
439:
437:
487:"SIAM: George Pólya Prize in Combinatorics"
208:University of Illinois at Urbana–Champaign
192:Graph properties and Bootstrap percolation
88:University of Illinois at Urbana–Champaign
18:
399:
393:
317:
311:
248:International Congress of Mathematicians
242:in combinatorics with Robert Morris and
433:
198:and for several months in 2002 at the
568:21st-century Hungarian mathematicians
563:20th-century Hungarian mathematicians
7:
460:
458:
180:On the existence of MDS-cyclic codes
306:with Wojtek Samotij: The number of
212:University of California, San Diego
176:International Mathematical Olympiad
14:
540:"József Balogh, Ph.D., Professor"
466:"Curriculum Vitae, Jozsef Balogh"
170:and attended secondary school in
48:December 1971 (age 52)
29:
507:. American Mathematical Society
544:(with Online available papers)
1:
259:American Mathematical Society
578:University of Memphis alumni
200:Institute for Advanced Study
573:University of Szeged alumni
609:
525:Leroy P Steele Prize 2024
121:
58:
28:
196:Florham Park, New Jersey
505:"2023 Class of Fellows"
414:{\displaystyle K_{r+1}}
332:{\displaystyle K_{s,t}}
16:Hungarian mathematician
415:
333:
416:
334:
277:Selected publications
263:Leroy P. Steele Prize
204:Ohio State University
184:University of Memphis
392:
351:with Bela Bollobas,
310:
162:Education and career
411:
353:Hugo Duminil-Copin
329:
240:George Pólya Prize
223:Hugo Duminil-Copin
166:Balogh grew up in
145:
144:
139:/jozsefbaloghmath
106:Doctoral students
60:Scientific career
600:
543:
527:
522:
516:
515:
513:
512:
501:
495:
494:
483:
477:
476:
470:
462:
453:
452:
441:
420:
418:
417:
412:
410:
409:
338:
336:
335:
330:
328:
327:
271:Wojciech Samotij
244:Wojciech Samotij
141:
138:
136:
134:
132:
113:Wojciech Samotij
95:Doctoral advisor
33:
19:
608:
607:
603:
602:
601:
599:
598:
597:
548:
547:
538:
535:
530:
523:
519:
510:
508:
503:
502:
498:
485:
484:
480:
468:
464:
463:
456:
443:
442:
435:
431:
395:
390:
389:
313:
308:
307:
279:
236:
164:
129:
117:
76:
72:
54:
49:
40:
24:
17:
12:
11:
5:
606:
604:
596:
595:
590:
585:
580:
575:
570:
565:
560:
550:
549:
546:
545:
534:
533:External links
531:
529:
528:
517:
496:
478:
454:
432:
430:
427:
426:
425:
408:
405:
402:
398:
386:
383:
377:
371:
365:
359:
349:
343:
326:
323:
320:
316:
304:
298:
278:
275:
252:Rio de Janeiro
235:
232:
163:
160:
143:
142:
127:
123:
122:
119:
118:
116:
115:
109:
107:
103:
102:
97:
91:
90:
85:
81:
80:
67:
63:
62:
56:
55:
50:
46:
42:
41:
34:
26:
25:
22:
15:
13:
10:
9:
6:
4:
3:
2:
605:
594:
591:
589:
586:
584:
581:
579:
576:
574:
571:
569:
566:
564:
561:
559:
558:Living people
556:
555:
553:
541:
537:
536:
532:
526:
521:
518:
506:
500:
497:
492:
488:
482:
479:
474:
467:
461:
459:
455:
450:
446:
440:
438:
434:
428:
424:
406:
403:
400:
396:
387:
384:
382:
378:
376:
372:
370:
366:
364:
360:
358:
354:
350:
348:
344:
342:
324:
321:
318:
314:
305:
303:
299:
297:
293:
292:Benny Sudakov
289:
288:Peter Keevash
285:
281:
280:
276:
274:
272:
268:
267:Robert Morris
264:
260:
255:
253:
249:
245:
241:
233:
231:
228:
227:Robert Morris
224:
220:
215:
213:
209:
205:
201:
197:
193:
189:
188:Béla Bollobás
186:with advisor
185:
181:
177:
173:
169:
161:
159:
157:
156:combinatorics
153:
149:
148:József Balogh
140:
128:
124:
120:
114:
111:
110:
108:
104:
101:
100:Béla Bollobás
98:
96:
92:
89:
86:
82:
79:
75:
74:Combinatorics
71:
68:
64:
61:
57:
53:
47:
43:
38:
32:
27:
23:József Balogh
20:
520:
509:. Retrieved
499:
490:
481:
472:
448:
256:
237:
216:
191:
179:
165:
152:graph theory
147:
146:
84:Institutions
78:Graph theory
59:
588:1971 births
234:Recognition
219:percolation
190:and thesis
70:Mathematics
37:Oberwolfach
552:Categories
511:2022-11-09
429:References
423:Arxiv 2013
381:Arxiv 2014
375:Arxiv 2012
35:Balogh at
284:Noga Alon
206:. At the
168:Mórahalom
491:siam.org
341:Abstract
133:.google
126:Website
52:Hungary
39:in 2023
172:Szeged
66:Fields
469:(PDF)
369:Arxiv
363:Arxiv
357:Arxiv
347:Arxiv
302:Arxiv
282:with
137:/view
131:sites
269:and
225:and
154:and
135:.com
45:Born
296:pdf
250:in
554::
489:.
471:.
457:^
447:.
436:^
290:,
286:,
273:.
254:.
214:.
158:.
542:.
514:.
493:.
475:.
451:.
407:1
404:+
401:r
397:K
325:t
322:,
319:s
315:K
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
