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A 1988 monograph of
Bestvina gave an abstract topological characterization of universal Menger compacta in all dimensions; previously only the cases of dimension 0 and 1 were well understood. John Walsh wrote in a review of Bestvina's monograph: 'This work, which formed the author's Ph.D. thesis at
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167:, represents a monumental step forward, having moved the status of the topological structure of higher-dimensional Menger compacta from one of "close to total ignorance" to one of "complete understanding".'
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304:. Since then train tracks became a standard tool in the study of algebraic, geometric and dynamical properties of automorphisms of free groups and of subgroups of Out(
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in 2002, and gave a plenary lecture at virtual ICM 2022. He also gave a Unni
Namboodiri Lecture in Geometry and Topology at the
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of word-hyperbolic groups to again be word-hyperbolic. The
Bestvina–Feighn Combination Theorem became a standard tool in
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for cubical complexes and applied it to study homological finiteness properties of subgroups of right-angled
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382:. In particular, they constructed an example of a group which provides a counter-example to either the
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has no periodic conjugacy classes; a theorem of
Bridson and Groves that for every automorphism
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International
Journal of Algebra and Computation, Volume: 11 (2001), no. 2, pp. 185–216
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The quadratic isoperimetric inequality for mapping tori of free-group automorphisms.
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Award
Abstract #8857452. Mathematical Sciences: Presidential Young Investigator.
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Branched coverings of cubical complexes and subgroups of hyperbolic groups
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41:. He is a Distinguished Professor in the Department of Mathematics at the
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in 1987-88 and again in 1990–91. Bestvina had been a faculty member at
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under the direction of John Walsh. He was a visiting scholar at the
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980:, Rocky Mountain Journal of Mathematics. Accessed February 8, 2010
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Bestvina and Feighn also gave the first published treatment of
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Bounding the complexity of simplicial group actions on trees
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Bestvina, Feighn and Handel later proved that the group Out(
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The conjugacy problem is solvable in free-by-cyclic groups.
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Cannon–Thurston maps for trees of hyperbolic metric spaces.
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In a 1997 paper
Bestvina and Brady developed a version of
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and has had many applications and generalizations (e.g.).
178:. The theorem provides a set of sufficient conditions for
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Memoirs of the
American Mathematical Society, to appear.
731:, vol. 8, no. 4, April 2008. Department of Mathematics,
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A Combination Theorem for Relatively Hyperbolic Groups.
1251:). I. Dynamics of exponentially-growing automorphisms.
505:). I. Dynamics of exponentially-growing automorphisms.
270:. In the same paper they introduced the notion of a
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O. Bogopolski, A. Martino, O. Maslakova, E. Ventura,
804:, vol. 48, no. 11, December 2001; pp. 1343 1345
107:
Bestvina served as an Editorial Board member for the
1002:
List of Fellows of the American Mathematical Society
1273:Mladen Bestvina, Mark Feighn, and Michael Handel.
1057:
A combination theorem for negatively curved groups.
514:Mladen Bestvina, Mark Feighn, and Michael Handel.
465:
A combination theorem for negatively curved groups.
1244:Mladen Bestvina, Mark Feighn, and Michael Handel.
854:, vol. 54, no. 9, October 2007, pp. 1178 1187
498:Mladen Bestvina, Mark Feighn, and Michael Handel.
61:. He obtained a PhD in Mathematics in 1984 at the
208:) In particular their paper gives a proof of the
109:Transactions of the American Mathematical Society
1422:International Mathematical Olympiad participants
1297:Morse theory and finiteness properties of groups
992:, Glasnik Matematicki. Accessed February 8, 2010
814:ICM Plenary and Invited Speakers Mladen Bestvina
488:Morse theory and finiteness properties of groups
115:. Currently he is an editorial board member for
53:Mladen Bestvina is a three-time medalist at the
1407:Faculty of Science, University of Zagreb alumni
530:Bestvina, Mladen; Bux, Kai-Uwe; Margalit, Dan,
511:(2), vol. 151 (2000), no. 2, pp. 517–623
482:, vol. 121 (1995), no. 2, pp. 287 321
170:In a 1992 paper Bestvina and Feighn obtained a
1402:Institute for Advanced Study visiting scholars
1178:Train tracks and automorphisms of free groups.
705:"Scholars | Institute for Advanced Study"
454:Train tracks and automorphisms of free groups.
460:(2), vol. 135 (1992), no. 1, pp. 1–51
274:and applied train track methods to solve the
8:
1412:Fellows of the American Mathematical Society
1034:John J. Walsh, Review of: Bestvina, Mladen,
1023:Memoirs of the American Mathematical Society
852:Notices of the American Mathematical Society
802:Notices of the American Mathematical Society
538:Journal of the American Mathematical Society
527:(2), vol. 161 (2005), no. 1, pp. 1–59
446:Journal of the American Mathematical Society
353:; a proof of algorithmic solvability of the
1233:Bulletin of the London Mathematical Society
1105:The combination theorem and quasiconvexity.
1076:Bulletin of the London Mathematical Society
1318:Journal of the London Mathematical Society
1264:(2), vol. 151 (2000), no. 2, pp. 517–623
1139:, vol. 121 (1995), no. 2, pp. 287 321
495:, vol. 129 (1997), no. 3, pp. 445–470
435:, vol. 103 (1991), no. 3, pp. 449–469
1157:Free actions of surface groups on R-trees
371:, settling a long-standing open problem.
278:, which says that for every automorphism
1202:, vol. 10 (2000), no. 5, pp. 1071–1089
1196:Hyperbolic automorphisms of free groups.
1184:(2), vol. 135 (1992), no. 1, pp. 1–51
725:Mladen Bestvina: Distinguished Professor
540:, vol. 23 (2010), no. 1, pp. 61–105
448:, vol. 4 (1991), no. 3, pp. 469–481
441:The boundary of negatively curved groups
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1387:Yugoslav emigrants to the United States
1320:(2), vol. 60 (1999), no. 2, pp. 461–480
1286:(2), vol. 161 (2005), no. 1, pp. 1–59
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1134:Stable actions of groups on real trees.
605:
476:Stable actions of groups on real trees.
357:for free-by-cyclic groups; and others.
1235:, vol. 38 (2006), no. 5, pp. 787–794
1040:-dimensional universal Menger compacta
1019:-dimensional universal Menger compacta
611:
609:
414:-dimensional universal Menger compacta
1303:, vol. 129 (1997), no. 3, pp. 445–470
1211:Martin R. Bridson and Daniel Groves.
1175:Mladen Bestvina, and Michael Handel,
1123:, Volume 48 (1998), Number 1, 135–164
720:
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625:Croatian Academy of Sciences and Arts
451:Mladen Bestvina, and Michael Handel,
141:Rocky Mountain Journal of Mathematics
87:Presidential Young Investigator Award
7:
1377:21st-century American mathematicians
1372:20th-century American mathematicians
1163:, vol. 30 (1991), no. 2, pp. 143–154
398:that is not itself word-hyperbolic.
653:International Mathematical Olympiad
470:, Volume 35 (1992), pp. 85–101
55:International Mathematical Olympiad
1295:Bestvina, Mladen and Brady, Noel,
1089:Combination of convergence groups.
672:Research brochure: Mladen Bestvina
533:The dimension of the Torelli group
485:Bestvina, Mladen and Brady, Noel,
438:Bestvina, Mladen; Mess, Geoffrey,
197:theory of stable group actions on
150:In 2012 he became a fellow of the
111:and as an associate editor of the
14:
1333:Mladen Bestvina, personal webpage
1200:Geometric and Functional Analysis
905:Geometric and Functional Analysis
121:Geometric and Functional Analysis
1121:Journal of Differential Geometry
1060:Journal of Differential Geometry
934:Journal of Topology and Analysis
468:Journal of Differential Geometry
425:Bestvina, Mladen; Feighn, Mark,
384:Whitehead asphericity conjecture
129:Journal of Topology and Analysis
81:in 2008. Bestvina received the
16:Croatian-American mathematician
1397:University of Tennessee alumni
1280:). II. A Kolchin type theorem.
1276:The Tits alternative for Out(F
1247:The Tits alternative for Out(F
1062:, Volume 35 (1992), pp. 85–101
848:Officers and Committee Members
521:). II. A Kolchin type theorem.
517:The Tits alternative for Out(F
501:The Tits alternative for Out(F
1:
1335:, Department of Mathematics,
1046:, MR0920964 (89g:54083), 1989
966:Michigan Mathematical Journal
950:Groups, Geometry and Dynamics
799:Invited Speakers for ICM2002.
692:Mathematics Genealogy Project
674:, Department of Mathematics,
420:American Mathematical Society
257:for representing elements of
249:A 1992 paper of Bestvina and
152:American Mathematical Society
137:Michigan Mathematical Journal
133:Groups, Geometry and Dynamics
1078:vol. 37 (2005), pp. 459–466
694:. Accessed February 8, 2010.
67:Institute for Advanced Study
1132:M. Bestvina and M. Feighn.
1055:M. Bestvina and M. Feighn,
968:. Accessed February 8, 2010
952:. Accessed February 8, 2010
936:. Accessed February 8, 2010
907:. Accessed February 8, 2010
888:"Duke Mathematical Journal"
877:. Accessed February 8, 2010
838:. Accessed February 9, 2010
834:Department of Mathematics,
789:. Accessed February 8, 2010
787:National Science Foundation
774:. Accessed February 8, 2010
751:. Accessed February 8, 2010
747:Department of Mathematics,
678:. Accessed February 8, 2010
473:M. Bestvina and M. Feighn.
463:M. Bestvina and M. Feighn,
345:the mapping torus group of
322:the mapping torus group of
253:introduced the notion of a
1443:
1382:University of Utah faculty
1094:, Volume 7 (2003), 933–963
772:Alfred P. Sloan Foundation
761:Sloan Research Fellowships
388:Eilenberg−Ganea conjecture
158:Mathematical contributions
83:Alfred P. Sloan Fellowship
1025:, vol. 71 (1988), no. 380
422:, vol. 71 (1988), no. 380
180:amalgamated free products
117:Duke Mathematical Journal
1301:Inventiones Mathematicae
1137:Inventiones Mathematicae
493:Inventiones Mathematicae
480:Inventiones Mathematicae
433:Inventiones Mathematicae
351:isoperimetric inequality
282:of a finitely generated
219:admits a free isometric
214:finitely generated group
210:Morgan–Shalen conjecture
1392:Croatian mathematicians
1004:, retrieved 2012-11-10.
165:University of Tennessee
63:University of Tennessee
37:working in the area of
23:Mladen Bestvina in 1986
1427:Sloan Research Fellows
825:Annual Lecture Series.
349:satisfies a quadratic
292:the fixed subgroup of
188:geometric group theory
176:word-hyperbolic groups
39:geometric group theory
24:
1284:Annals of Mathematics
1262:Annals of Mathematics
1182:Annals of Mathematics
1092:Geometry and Topology
920:Geometry and Topology
875:Annals of Mathematics
836:University of Chicago
585:Word-hyperbolic group
525:Annals of Mathematics
509:Annals of Mathematics
458:Annals of Mathematics
402:Selected publications
396:word-hyperbolic group
376:discrete Morse theory
125:Geometry and Topology
113:Annals of Mathematics
102:University of Chicago
22:
1044:Mathematical Reviews
595:Whitehead conjecture
272:relative train track
59:University of Zagreb
1087:Francois Dahmani,
590:Mapping class group
244:free abelian groups
238:of surface groups,
172:Combination Theorem
145:Glasnik Matematicki
1417:People from Osijek
1337:University of Utah
1257:2011-06-06 at the
1071:Emina ALibegovic,
1013:Bestvina, Mladen,
830:2010-06-09 at the
767:2011-04-24 at the
749:University of Utah
733:University of Utah
711:. August 14, 2015.
688:Mladen F. Bestvina
676:University of Utah
407:Bestvina, Mladen,
392:finitely presented
79:University of Utah
75:University of Utah
43:University of Utah
25:
645:"Mladen Bestvina"
617:"Mladen Bestvina"
580:Pseudo-Anosov map
355:conjugacy problem
92:Bestvina gave an
85:in 1988–89 and a
32:Croatian-American
30:(born 1959) is a
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418:Memoirs of the
410:Characterizing
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330:if and only if
328:word-hyperbolic
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49:Life and career
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