Knowledge

Tom Ilmanen

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Differential Geometry: Partial Differential Equations on Manifolds. (1993). In R. Greene & S.-T. Yau (Eds.), Proceedings of Symposia in Pure Mathematics. American Mathematical Society.
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Feldman, Mikhail, Tom Ilmanen, and Dan Knopf. "Rotationally symmetric shrinking and expanding gradient Kähler-Ricci solitons."
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Ilmanen, Tom. "Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature."
91: 175:, and Tom Ilmanen. "The inverse mean curvature flow and the Riemannian Penrose inequality." 339: 107: 8: 213:
Switzerland, ETH Zürich Professur für Mathematik HG G. 62 3 Rämistrasse 101 8092 Zürich.
134: 226: 126:'s list of open problems, and was resolved at the same time in greater generality by 153: 301: 276: 172: 111: 123: 333: 87: 245: 161:
Elliptic Regularization and Partial Regularity for Motion by Mean Curvature
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In 2001, Huisken and Ilmanen made a conjecture on the mathematics of
142: 297:"A Century Later, New Math Smooths Out General Relativity" 316:"Fellows Database | Alfred P. Sloan Foundation" 181:59.3 (2001): 353–437. DOI: 10.4310/jdg/1090349447 331: 145:. This was proved in 2023 by Conghan Dong and 285:(Vol. 26, Issue 19, p. 193). IOP Publishing. 74:Research in differential geometry, proof of 231:: CS1 maint: numeric names: authors list ( 277:Present status of the Penrose inequality 166: 212: 332: 294: 102:. He obtained his PhD in 1991 at the 122:, which is the fifteenth problem in 265:https://doi.org/10.1090/pspum/054.1 262:https://doi.org/10.1090/pspum/054.1 13: 104:University of California, Berkeley 57:University of California, Berkeley 14: 361: 295:Nadis, Steve (30 November 2023), 193:Journal of Differential Geometry 186:Journal of Differential Geometry 178:Journal of Differential Geometry 159:He wrote the research monograph 308: 288: 269: 254: 239: 206: 1: 282:Classical and Quantum Gravity 250:Mathematics Genealogy Project 199: 120:Riemannian Penrose conjecture 76:Riemannian Penrose conjecture 7: 141:in spaces with very little 130:using alternative methods. 116:inverse mean curvature flow 110:as supervisor. Ilmanen and 86:(born 1961) is an American 10: 366: 70: 62: 52: 44: 36: 28: 21: 98:. He is a professor at 350:Differential geometers 96:calculus of variations 16:American mathematician 195:65.2 (2003): 169–209. 188:38.2 (1993): 417–461. 167:Selected publications 92:differential geometry 108:Lawrence Craig Evans 48:Ph.D. in Mathematics 275:Mars, M. (2009). " 135:general relativity 81: 80: 357: 324: 323: 312: 306: 305: 292: 286: 273: 267: 258: 252: 243: 237: 236: 230: 222: 210: 173:Huisken, Gerhard 154:Sloan Fellowship 90:specializing in 19: 18: 365: 364: 360: 359: 358: 356: 355: 354: 330: 329: 328: 327: 314: 313: 309: 302:Quanta Magazine 293: 289: 274: 270: 259: 255: 244: 240: 224: 223: 211: 207: 202: 169: 112:Gerhard Huisken 53:Alma mater 24: 17: 12: 11: 5: 363: 353: 352: 347: 342: 326: 325: 307: 287: 268: 253: 238: 204: 203: 201: 198: 197: 196: 189: 182: 168: 165: 152:He received a 79: 78: 72: 71:Known for 68: 67: 64: 60: 59: 54: 50: 49: 46: 42: 41: 38: 34: 33: 30: 26: 25: 22: 15: 9: 6: 4: 3: 2: 362: 351: 348: 346: 345:Living people 343: 341: 338: 337: 335: 321: 317: 311: 304: 303: 298: 291: 284: 283: 278: 272: 266: 263: 257: 251: 247: 242: 234: 228: 220: 216: 215:"Tom Ilmanen" 209: 205: 194: 190: 187: 183: 180: 179: 174: 171: 170: 164: 162: 157: 155: 150: 148: 144: 140: 136: 131: 129: 125: 121: 118:to prove the 117: 113: 109: 105: 101: 97: 93: 89: 88:mathematician 85: 77: 73: 69: 66:Mathematician 65: 61: 58: 55: 51: 47: 43: 39: 35: 31: 27: 20: 319: 310: 300: 290: 280: 271: 256: 241: 219:math.ethz.ch 218: 208: 192: 185: 176: 160: 158: 151: 147:Antoine Song 137:, about the 132: 83: 82: 340:1961 births 246:Tom Ilmanen 128:Hubert Bray 84:Tom Ilmanen 37:Nationality 23:Tom Ilmanen 334:Categories 200:References 100:ETH Zurich 63:Occupation 320:sloan.org 156:in 1996. 139:curvature 45:Education 227:cite web 94:and the 40:American 248:at the 114:used 106:with 233:link 143:mass 32:1961 29:Born 279:". 124:Yau 336:: 318:. 299:, 229:}} 225:{{ 217:. 163:. 149:. 322:. 235:) 221:.

Index

University of California, Berkeley
Riemannian Penrose conjecture
mathematician
differential geometry
calculus of variations
ETH Zurich
University of California, Berkeley
Lawrence Craig Evans
Gerhard Huisken
inverse mean curvature flow
Riemannian Penrose conjecture
Yau
Hubert Bray
general relativity
curvature
mass
Antoine Song
Sloan Fellowship
Huisken, Gerhard
Journal of Differential Geometry
"Tom Ilmanen"
cite web
link
Tom Ilmanen
Mathematics Genealogy Project
https://doi.org/10.1090/pspum/054.1
https://doi.org/10.1090/pspum/054.1
Present status of the Penrose inequality
Classical and Quantum Gravity
"A Century Later, New Math Smooths Out General Relativity"

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