Brian White

All Publications

• Nonfattening of Mean Curvature Flow at Singularities of Mean Convex Type COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS Hershkovits, O., White, B. 2020; 73 (3): 558–80

  View details for DOI 10.1002/cpa.21852

  View details for Web of Science ID 000507507900002

• A local regularity theorem for mean curvature flow with triple edges JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK Schulze, F., White, B. 2020; 758: 281–305

  View details for DOI 10.1515/crelle-2017-0044

  View details for Web of Science ID 000505592100009

• Sharp entropy bounds for self-shrinkers in mean curvature flow GEOMETRY & TOPOLOGY Hershkovits, O., White, B. 2019; 23 (3): 1611–19

  View details for DOI 10.2140/gt.2019.23.1611

  View details for Web of Science ID 000469876000009

• On the compactness theorem for embedded minimal surfaces in 3-manifolds with locally bounded area and genus COMMUNICATIONS IN ANALYSIS AND GEOMETRY White, B. 2018; 26 (3): 659–78

  View details for Web of Science ID 000439729000007

• Helicoidal minimal surfaces of prescribed genus ACTA MATHEMATICA Hoffman, D., Traizet, M., White, B. 2016; 216 (2): 217-323

  View details for DOI 10.1007/s11511-016-0139-z

  View details for Web of Science ID 000388120500002

• Subsequent singularities in mean-convex mean curvature flow CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS White, B. 2015; 54 (2): 1457-1468

  View details for DOI 10.1007/s00526-015-0831-4

  View details for Web of Science ID 000361391500010

• CURVATURES OF EMBEDDED MINIMAL DISKS BLOW UP ON SUBSETS OF C-1 CURVES JOURNAL OF DIFFERENTIAL GEOMETRY White, B. 2015; 100 (2): 389-394

  View details for Web of Science ID 000355355700005

• PROPERLY EMBEDDED, AREA-MINIMIZING SURFACES IN HYPERBOLIC 3-SPACE JOURNAL OF DIFFERENTIAL GEOMETRY Martin, F., White, B. 2014; 97 (3): 515-544

  View details for Web of Science ID 000340352800005

• THE ROUND SPHERE MINIMIZES ENTROPY AMONG CLOSED SELF-SHRINKERS JOURNAL OF DIFFERENTIAL GEOMETRY Colding, T. H., Ilmanen, T., Minicozzi, W. P., White, B. 2013; 95 (1): 53-69

  View details for Web of Science ID 000322654700003

• Topological change in mean convex mean curvature flow INVENTIONES MATHEMATICAE White, B. 2013; 191 (3): 501-525

  View details for DOI 10.1007/s00222-012-0397-0

  View details for Web of Science ID 000314980600001

• Sequences of embedded minimal disks whose curvatures blow up on a prescribed subset of a line COMMUNICATIONS IN ANALYSIS AND GEOMETRY Hoffman, D., White, B. 2011; 19 (3): 487-502

  View details for Web of Science ID 000296081800002

• AXIAL MINIMAL SURFACES IN S-2 x R ARE HELICOIDAL JOURNAL OF DIFFERENTIAL GEOMETRY Hoffman, D., White, B. 2011; 87 (3): 515-523

  View details for Web of Science ID 000295439600004

• The maximum principle for minimal varieties of arbitrary codimension COMMUNICATIONS IN ANALYSIS AND GEOMETRY White, B. 2010; 18 (3): 421-432

  View details for Web of Science ID 000285725100001

• WHICH AMBIENT SPACES ADMIT ISOPERIMETRIC INEQUALITIES FOR SUBMANIFOLDS? JOURNAL OF DIFFERENTIAL GEOMETRY White, B. 2009; 83 (1): 213-228

  View details for Web of Science ID 000270193800008

• CURRENTS AND FLAT CHAINS ASSOCIATED TO VARIFOLDS, WITH AN APPLICATION TO MEAN CURVATURE FLOW DUKE MATHEMATICAL JOURNAL White, B. 2009; 148 (1): 41-62

  View details for DOI 10.1215/00127094-2009-019

  View details for Web of Science ID 000265672400002

• The geometry of genus-one helicoids COMMENTARII MATHEMATICI HELVETICI Hoffman, D., White, B. 2009; 84 (3): 547-569

  View details for Web of Science ID 000268738900004

• Genus-one helicoids from a variational point of view COMMENTARII MATHEMATICI HELVETICI Hoffman, D., White, B. 2008; 83 (4): 767-813

  View details for Web of Science ID 000261133900004

• ON THE NUMBER OF MINIMAL SURFACES WITH A GIVEN BOUNDARY Conference on Differential Geometry, Mathematical Physics, Mathematics and Society Hoffman, D., White, B. SOC MATHEMATIQUE FRANCE. 2008: 207–24

  View details for Web of Science ID 000272458900008

• A local regularity theorem for mean curvature flow Annals of Mathematics White, B. 2005; 161: 1487–1519
• The nature of singularities in mean curvature flow of mean-convex sets Journal of the American Mathematical Society White, B. 2003; 16: 123-138
• Evolution of curves and surfaces by mean curvature Proceedings of the International Congress of Mathematicians White, B. 2002
• Embeddedness of minimal surfaces with total boundary curvature at most 4π Annals of Mathematics White, B. 2002; 155: 209–234
• The size of the singular set in mean curvature flow of mean-convex surfaces Journal of the American Mathematical Society White, B. 2000; 13: 665-695
• Rectifiability of flat chains Annals of Mathematics White, B. 1999; 150: 165-184
• The deformation theorem for flat chains Acta Mathematica White, B. 1999; 183: 255-271
• The mathematics of F. J. Almgren, Jr Journal of Geometric Analysis White, B. 1998; 8: 681-702
• A new proof of Federer’s structure theorem for k-dimensional sets in Rⁿ Journal of the American Mathematical Society White, B. 1998; 11: 693–701
• Soap-films bounded by non-closed curves Journal of Geometric Analysis Drachman, J., White, B. 1998; 8: 239–250
• Classical area minimizing surfaces with real analytic boundaries Acta Mathematica White, B. 1997; 179: 295-305
• The mathematics of F. J. Almgren, Jr Notices of the AMS - American Mathematical Society White, B. 1997; 44 (10): 1451-1456
• Stratification of minimal surfaces, mean curvature flows, and harmonic maps Journal fur die Reine und Angewandte Mathematik White, B. 1997; 488: 1-35
• Existence of least-energy configurations of immiscible fluids Journal of Geometric Analysis White, B. 1996; 6: 151–161
• Half of enneper’s surface minimizes area Geometric analysis and the calculus of variations for Stefan Hildebrandt White, B. edited by Jost, J. International Press. 1996: 361–368
• The topology of hypersurfaces moving by mean curvature Communications in analysis and geometry White, B. 1995; 3: 317–333
• Partial regularity of mean-convex hypersurfaces flowing by mean curvature International Mathematics Research Notice White, B. 1994; 4: 185-192
• Some questions of De Giorgi about mean curvature flow of triply periodic surfaces Motion by Mean Curvature White, B. edited by Buttazzo, B., Visintin, A. de Gruyter. 1994: 210–213
• A strong minimax property of nondegenerate minimal submanifolds Journal fur die Reine und Angewandte Mathematik White, B. 1994; 457: 203–218
• The bridge principle for stable minimal surfaces Calculus of Variations and Partial Differential Equations White, B. 1994; 2: 405-425
• The bridge principle for unstable and for singular minimal surfaces Communications in analysis and geometry White, B. 1994; 2: 513-532
• The structure of branch points in area minimizing surfaces and in pseudoholomorphic curves Annals of Mathematics Micallef, M., White, B. 1994; 139: 35-85
• The Space of Minimal Annuli Bounded by an Extremal Pair of Planar Curves Communications in Analysis and Geometry Meeks, III, W. H., White, B. 1993; 1: 415-437
• On the topological type of minimal submanifolds Topology White, B. 1992; 31: 445-448
• Nonunique tangent maps at isolated singularities of harmonic maps Bulletin of the American Mathematical Society White, B. 1992; 26: 125-129
• Existence of smooth embedded surfaces of prescribed topological type that minimize parametric even elliptic functionals on three-manifolds Journal of Differential Geometry White, B. 1991; 33: 413-443
• Minimal Surfaces Bounded by Convex Curves in Parallel Planes Commentarii Mathematici Helvetici Meeks, III, W. H., White, B. 1991; 66: 263-278
• The space of minimal submanifolds for varying riemannian metrics Indiana University Mathematics Journal White, B. 1991; 40: 161-200
• A rigidity theorem for properly embedded minimal surfaces in R³ Journal of Differential Geometry Choi, H., Meeks, III, W. H., White, B. 1990; 32: 65-76
• The rate of convergence of a harmonic map at a singular point Mathematische Annalen Gulliver, R., White, B. 1989; 283: 539-549
• A new proof of the compactness theorem for integral currents Commentarii Mathematici Helvetici White, B. 1989; 64: 207–220
• New applications of mapping degrees to minimal surface theory Journal of Differential Geometry White, B. 1989; 29: 143-162
• Some Recent Developments in Differential Geometry Mathematical Intelligencer White, B. 1989; 11: 41–47
• Every three-sphere of positive ricci curvature contains a minimal embedded torus Bulletin (New Series) of the American Mathematical Society White, B. 1989; 21: 71-75
• A strong maximum principle for varifolds that are stationary with respect to even parametric elliptic functionals Indiana University Mathematics Journal Solomon, B., White, B. 1989; 38: 683–691
• Complete surfaces of finite total curvature Journal of Differential Geometry White, B. 1988; 28: 359–360
• Homotopy classes in sobolev spaces and the existence of energy minimizing maps Acta Mathematica White, B. 1988; 160: 1–17
• Curvature estimates and compactness theorems in 3-manifolds for surfaces that are stationary for parametric elliptic functionals Inventiones Mathematicae White, B. 1987; 88: 243–256
• The space of m-dimensional surfaces that are stationary for a parametric elliptic integrand Indiana University Mathematics Journal White, B. 1987; 36: 567–602
• Generic regularity of unoriented two-dimensional area minimizing surfaces Annals of Mathematics White, B. 1986; 124: 403
• Infima of energy functionals in homotopy classes of mappings Journal of Differential Geometry White, B. 1986; 23: 127–142
• A regularity theorem for minimizing hypersurfaces modulo p Proceedings of Symposia in Pure Mathematics White, B. 1986; 44: 413–427
• Homotopy classes in sobolev spaces and energy minimizing maps Bulletin of the American Mathematical Society White, B. 1985; 13: 166–168
• Regularity of singular sets in immiscible fluid interfaces and in solutions to other plateau-type problems Proceedings of the Centre for Mathematical Analysis White, B. 1985: 244-249
• Mappings that minimize area in their homotopy classes Journal of Differential Geometry White, B. 1984; 20: 433–446
• The least area bounded by multiples of a curve Proceedings from the American Mathematical Society White, B. 1984; 90: 230–232
• Tangent cones to 2-dimensional area-minimizing integral currents are unique Duke Mathematical Journal White, B. 1983; 50: 143–160
• Existence of least-area mappings of N-dimensional domains Annals of Mathematics White, B. 1983; 118 : 179–185
• Regularity of area-minimizing hypersurfaces at boundaries with multiplicity Annals of Mathematics Studies White, B. 1983 ; 103: 293–301
• The structure of minimizing hypersurfaces mod 4 Inventiones Mathematicae White, B. 1979 ; 53: 45–58