@font-face{font-display:swap;font-family:atkinson hyperlegible;src:local("Atkinson Hyperlegible"),url(/fonts/AtkinsonHyperlegibleNextVF-Variable.woff2)format("woff2-variations");font-weight:400 700;font-style:normal italic}@font-face{font-family:atkinson fallback;src:local("Arial"),local("Helvetica Neue"),local("Helvetica");size-adjust:100.5%;ascent-override:96%;descent-override:24%;line-gap-override:0%}@property --avatar-glow{syntax: "<number>";
  inherits: true;
  initial-value: 0; }@property --avatar-blob-x{syntax: "<percentage>";
  inherits: false;
  initial-value: 50%; }@property --avatar-blob-y{syntax: "<percentage>";
  inherits: false;
  initial-value: 50%; }@property --wave-glow-1-x{syntax: "<percentage>";
  inherits: false;
  initial-value: 30%; }@property --wave-glow-1-y{syntax: "<percentage>";
  inherits: false;
  initial-value: 45%; }@property --wave-glow-2-x{syntax: "<percentage>";
  inherits: false;
  initial-value: 65%; }@property --wave-glow-2-y{syntax: "<percentage>";
  inherits: false;
  initial-value: 50%; }@property --wave-glow-3-x{syntax: "<percentage>";
  inherits: false;
  initial-value: 40%; }@property --wave-glow-3-y{syntax: "<percentage>";
  inherits: false;
  initial-value: 40%; }@property --wave-glow-4-x{syntax: "<percentage>";
  inherits: false;
  initial-value: 55%; }@property --wave-glow-4-y{syntax: "<percentage>";
  inherits: false;
  initial-value: 60%; }@property --wave-glow-5-x{syntax: "<percentage>";
  inherits: false;
  initial-value: 50%; }@property --wave-glow-5-y{syntax: "<percentage>";
  inherits: false;
  initial-value: 55%; }:root{color-scheme:light dark;--paper:#f7f3ed;--paper-soft:#fbf8f3;--ink:#2b2f38;--muted:#88929f;--line:#ded8ce;--accent:#c24d3a;--accent-strong:#9b3a2d;--accent-soft:#f4d7d1;--accent-rgb:194, 77, 58;--accent-strong-rgb:155, 58, 45;--accent-glow-1-rgb:246.3952381, 173.25809991, 107.6047619;--accent-glow-2-rgb:239.2247619, 113.58652101, 73.9752381;--accent-glow-3-rgb:235.37738095, 192.10997782, 88.02261905;--accent-glow-4-rgb:237.58952381, 56.37269561, 55.21047619;--code:#207680;--code-background:#d7ebec;--shadow:rgba(25, 25, 28, 0.08);--muted-accessible:#5f6976}@media(prefers-color-scheme:dark){:root{--paper:#1f2227;--paper-soft:#242831;--ink:#e7e1d7;--muted:#a2a7b0;--line:#3a4049;--accent:#ff8b6a;--accent-strong:#ff6e4d;--accent-soft:rgba(255, 139, 106, 0.18);--accent-rgb:255, 139, 106;--accent-strong-rgb:255, 110, 77;--accent-glow-1-rgb:238.6, 132.37762864, 0;--accent-glow-2-rgb:255, 91.61154362, 14.2;--accent-glow-3-rgb:255, 208.30675615, 34.6;--accent-glow-4-rgb:255, 72.62863535, 55;--code:#6ed5e0;--code-background:#283c3e;--shadow:rgba(0, 0, 0, 0.35);--muted-accessible:#a2a7b0}}*{box-sizing:border-box}[hidden]{display:none!important}html{scroll-behavior:smooth;background-color:var(--paper);background-image:none}body{margin:0;font-family:atkinson hyperlegible,atkinson fallback,sans-serif;font-size:15px;line-height:1.4;color:var(--ink);background:var(--paper);background-image:none;min-height:100vh;min-height:100svh;display:flex;flex-direction:column}img{max-width:100%;height:auto}hr{border:0;height:1px;background:linear-gradient(90deg,transparent,var(--line),transparent);margin:1.5rem 0}.container{width:100%;max-width:720px;margin:0 auto;padding:0 24px}.flex-column{flex-direction:column}.flex-row{flex-direction:row}.flex-wrap{flex-wrap:wrap}.justify-content-end{justify-content:flex-end}.text-nowrap{white-space:nowrap}.text-center{text-align:center}.p-0{padding:0}.mx-0{margin-left:0;margin-right:0}.mb-2{margin-bottom:.5rem}@media(min-width:576px){.flex-sm-row{flex-direction:row}.ms-sm-auto{margin-left:auto!important}}.site-header{position:relative;z-index:2;padding-top:3rem}#content{position:relative;z-index:0;flex:1 0 auto;margin-top:.55rem;padding-bottom:0}#content p{margin:0 0 1rem;text-wrap:pretty}#content a{color:var(--accent);text-decoration:none;border-radius:0;padding:0 .08em;background-image:linear-gradient(var(--accent-soft),var(--accent-soft));background-repeat:no-repeat;background-size:100% .4em;background-position:0 100%;-webkit-box-decoration-break:clone;box-decoration-break:clone;transition:color 160ms ease,background-size 200ms ease}#content a:hover{color:var(--accent);background-size:150% 1.8em}#content h1,#content h2,#content h3,#content h4,#content h5,#content h6{font-weight:600;letter-spacing:-.01em;margin:2rem 0 .75rem;line-height:1.2499998;text-wrap:balance}#content h1{font-size:2rem}#content h2{font-size:1.55rem}#content h3{font-size:1.25rem}#content h4,#content h5,#content h6{font-size:1.05rem}#content blockquote{margin:1.5rem 0;padding:.75rem 1rem;border-left:4px solid var(--accent);background:var(--paper-soft);border-radius:.25rem}#content blockquote p{margin:0}#content code{font-family:ui-monospace,sfmono-regular,Menlo,Monaco,Consolas,liberation mono,courier new,monospace;font-size:.95em;color:var(--code);background:var(--code-background);padding:.1em .3em;border-radius:.2em}#content pre{background:var(--paper-soft);border:1px solid var(--line);border-radius:.4rem;padding:.9rem 1rem;overflow-x:auto;box-shadow:0 8px 24px var(--shadow)}#content pre code{background:100%;padding:0;color:inherit}#content ul,#content ol{padding-left:1.2rem}#content ul li::marker{color:var(--accent);font-size:.85em}#content ul.fa-ul{list-style:none;padding-left:0}#content li{margin:.6rem 0}#content table{width:100%;border-collapse:collapse;margin:1.2rem 0 1.6rem;font-size:.82em;border-top:2px solid var(--line);border-bottom:2px solid var(--line);line-height:1.3500004}#content th,#content td{border:0;padding:.35rem .55rem;text-align:left;vertical-align:top}#content th{background:0 0;font-weight:600}#content thead th{border-bottom:1.25px solid var(--line);padding-top:.4rem;padding-bottom:.4rem;white-space:nowrap}#content tbody tr{border-bottom:1px solid var(--line)}#content tbody tr:last-child{border-bottom:0}#content>.container>p,#contacts{position:relative;z-index:1}.page-header{margin-bottom:1.5rem}.page-description{color:var(--muted);margin-top:.5rem}.company{--company-logo:none;--company-logo-height:1.06em;--company-logo-width:auto;--company-logo-aspect-ratio:1 / 1;--company-logo-gap:0.08em;--company-logo-align:-0.25em;--company-logo-position:center;display:inline;color:inherit;white-space:nowrap}.company a,.company-label{white-space:nowrap}.company-logo{display:inline-block;width:var(--company-logo-width);height:var(--company-logo-height);aspect-ratio:var(--company-logo-aspect-ratio);margin-right:var(--company-logo-gap);background-color:currentColor;mask-image:var(--company-logo);mask-size:auto 100%;mask-repeat:no-repeat;mask-position:var(--company-logo-position);-webkit-mask-image:var(--company-logo);-webkit-mask-size:auto 100%;-webkit-mask-repeat:no-repeat;-webkit-mask-position:var(--company-logo-position);vertical-align:var(--company-logo-align)}.company-microsoft{--company-logo:url("/logos/microsoft.svg");--company-logo-height:1.06em;--company-logo-width:auto;--company-logo-aspect-ratio:1 / 1;--company-logo-align:-0.22em;--company-logo-gap:0.1em}.company-ai2{--company-logo:url("/logos/Ai2.svg");--company-logo-height:1.3em;--company-logo-width:auto;--company-logo-aspect-ratio:1 / 1;--company-logo-align:-0.32em;--company-logo-gap:0.05em}.company-amazon{--company-logo:url("/logos/amzn-full.svg");--company-logo-height:0.97em;--company-logo-width:auto;--company-logo-aspect-ratio:221 / 64;--company-logo-align:-0.42em;--company-logo-gap:0.2em}.company-georgetown .company-logo{display:none}.publication-topic-icon{display:inline-block;width:.95rem;height:.95rem;flex:none;background-color:var(--accent);mask-image:var(--topic-icon);mask-size:100%;mask-repeat:no-repeat;mask-position:center;-webkit-mask-image:var(--topic-icon);-webkit-mask-size:100%;-webkit-mask-repeat:no-repeat;-webkit-mask-position:center}.publications-page .note{margin-top:-.45rem;margin-bottom:0}#content .publications-page-intro{margin-bottom:.75rem}#content .publications-page-intro p{margin:0 0 .75rem}#content .publications-page-intro p:last-child{margin-bottom:0}#content .publication-entry-body>*{margin:0}.publication-filter-bar{position:relative;margin:0 0 .85rem}.publication-filter-bar::before,.publication-filter-bar::after{content:"";position:absolute;top:0;bottom:0;width:2rem;pointer-events:none;opacity:0;transition:opacity 160ms ease;z-index:1}.publication-filter-bar::before{left:0;background:linear-gradient(90deg,var(--paper) 28%,transparent)}.publication-filter-bar::after{right:0;background:linear-gradient(270deg,var(--paper) 28%,transparent)}.publication-filter-bar.has-left-fade::before,.publication-filter-bar.has-right-fade::after{opacity:1}.publication-filters-scroll{overflow-x:auto;overflow-y:hidden;padding:.05rem 0;scrollbar-width:none;-ms-overflow-style:none}.publication-filters-scroll::-webkit-scrollbar{display:none}.publication-filters{display:inline-flex;flex-wrap:nowrap;gap:.42rem;min-width:max-content;padding-right:2rem}.publication-topic-toggle{appearance:none;display:inline-flex;align-items:center;gap:.4rem;flex:none;padding:.28rem .68rem;border:1px solid var(--line);border-radius:999px;background:0 0;color:var(--muted);cursor:pointer;font:inherit;font-size:.88rem;line-height:1.2000002;text-align:left;white-space:nowrap;transition:color 160ms ease,border-color 160ms ease,background-color 160ms ease}.publication-topic-toggle:hover{color:var(--ink);border-color:var(--muted);background-color:var(--paper-soft)}.publication-topic-toggle.is-active{color:var(--accent);border-color:var(--accent);background-color:var(--accent-soft)}.publication-year-group{margin-top:-1.5rem}.publication-year-groups .publication-year-group:first-child{margin-top:-1rem}.publication-year-header{display:flex;align-items:center;gap:.75rem;padding:.28rem 0}.publication-year-header::before,.publication-year-header::after{margin-top:1.1rem;content:"";flex:auto;border-bottom:1px solid var(--line)}.publication-year-header h2{margin:0;letter-spacing:0}.publication-list{list-style:none;display:grid;gap:.18rem;margin:0;padding:0}.publication-entry{display:grid;grid-template-columns:.88rem minmax(0,1fr);gap:.55rem;align-items:start;padding:.08rem 0}.publication-entry-icon{width:.88rem;height:.88rem;margin-top:.14rem}.publication-entry-body{min-width:0;display:flex;flex-direction:column;gap:.02rem}.publication-entry-body>*{margin:0}.publication-entry-title{font-size:.98rem;font-weight:600;line-height:1.33}#content .publication-entry-title{text-wrap:balance}.publication-entry-authors{color:var(--ink);font-size:.86rem;line-height:1.204;text-wrap:pretty}.publication-entry-meta{display:flex;flex-direction:column;align-items:flex-start;gap:.18rem;min-width:0;text-align:left}.publication-entry-meta>*{margin:0}.publication-entry-venue{color:var(--muted);font-size:.78rem;line-height:1.148;text-wrap:balance}.author-name{white-space:nowrap}.author-marker{position:relative;top:-.4em;margin-left:.1em;color:var(--muted);font-size:.7rem;line-height:0;vertical-align:baseline}.publication-entry-badge{line-height:1.0000004;white-space:normal}.publication-entry-badge.call-in,.publication-entry-badge.call-out{margin-left:0;font-size:.7rem;padding:.03rem .34rem;border-radius:.35rem;text-align:left;white-space:normal}.publication-entry-badge.call-in{color:var(--muted);background:var(--shadow);border-color:transparent;font-weight:600}.publication-entry-badge.call-out{color:var(--accent);background:var(--accent-soft);border-color:transparent;font-weight:600}.publication-entry .short-authors{margin:0 .25rem 0 0}.hide-authors:has(>.short-authors[aria-hidden=false]){white-space:nowrap}@media(max-width:480px){.publication-filter-bar{margin-bottom:.85rem}.publication-filters{padding-right:1.5rem}.publication-topic-toggle{font-size:.84rem}.publication-entry{position:relative;display:block;padding:.06rem 0}.publication-entry-icon{position:absolute;left:-1.35rem;top:.06rem}.publication-entry-title{font-size:.95rem}.publication-entry-authors{font-size:.84rem}.publication-entry-venue{font-size:.78rem}}.post-list{display:grid;gap:1.75rem;margin:2rem 0}.post-card{padding-bottom:1.5rem;border-bottom:1px solid var(--line)}.post-card h2{margin-bottom:.4rem}.post-meta{color:var(--muted);font-size:.9rem;margin-bottom:.7rem}.post-read-more{font-weight:600}.post{margin-bottom:3rem}.post-tags{margin-left:.6rem;font-size:.85rem;color:var(--muted)}.pagination{display:flex;align-items:center;justify-content:space-between;gap:1rem;padding:1rem 0 2rem}.pagination-status{color:var(--muted);font-size:.9rem}.image-grid{display:grid;gap:.75rem;grid-template-columns:repeat(var(--grid-columns,3),minmax(0,1fr));margin:1.5rem 0}.image-grid img{width:100%;border-radius:.4rem;display:block}.post-content .footnotes{border-top:1px solid var(--line);margin-top:2rem;padding-top:1.5rem;font-size:.92rem}.post-content sup{position:relative;top:-.2em;line-height:0;vertical-align:baseline}.footnote-popup{position:absolute;left:0;bottom:1.2rem;min-width:14rem;max-width:20rem;padding:.6rem .75rem;background:var(--paper);border:1px solid var(--line);border-radius:.4rem;box-shadow:0 12px 32px var(--shadow);opacity:0;transform:translateY(.2rem);pointer-events:none;transition:opacity 160ms ease,transform 160ms ease;z-index:2}.footnote-popup p{margin:0}sup:hover .footnote-popup,sup:focus-within .footnote-popup{opacity:1;transform:translateY(0);pointer-events:auto}.navbar{position:relative;display:flex;flex-wrap:wrap;align-items:center;justify-content:space-between;padding-bottom:.2rem;gap:.5rem}@media(min-width:576px){.navbar-expand-sm{flex-wrap:nowrap}}.navbar-brand{display:flex;align-items:baseline;gap:.5rem;color:var(--ink);text-decoration:none}.navbar-brand:hover .navbar-h1{color:var(--accent)}h1.navbar-h1{margin:0;font-size:2.2rem;letter-spacing:-.02em;font-weight:600;transition:color 180ms ease}.navbar-nav{display:flex;gap:.5rem;align-items:center}.nav-link{--nav-link-background-height:0.45em;--nav-link-background-hover-height:1.2em;color:var(--accent);text-decoration:none;font-weight:600;display:inline-block;line-height:1.2000002;padding:0 .08em;border-bottom:0;background-image:linear-gradient(var(--accent-soft),var(--accent-soft));background-repeat:no-repeat;background-size:100% var(--nav-link-background-height);background-position:0 100%;-webkit-box-decoration-break:clone;box-decoration-break:clone;transition:color 160ms ease,background-size 200ms ease}.nav-link:hover{color:var(--accent);background-size:100% var(--nav-link-background-hover-height)}body:has(.greeting-wave:hover,#avatar-container:hover) .nav-link{--nav-link-background-height:0;--nav-link-background-hover-height:0}.navbar-text{color:var(--muted);margin:0 .35rem}#avatar-container{height:256px;width:256px;cursor:pointer;position:relative;overflow:visible;--avatar-glow:0;transition:--avatar-glow 1.5s cubic-bezier(.16,1,.3,1)}@media(max-width:480px){#avatar-container{margin:1rem auto 1.5rem}}@media(min-width:480px){#avatar-container{margin:0 0 .85rem .85rem;float:right;shape-outside:circle(50%);shape-margin:.35rem}}#avatar-container:hover{--avatar-glow:1}#front-avatar,#back-avatar{position:relative;z-index:2}.avatar-glow{position:absolute;inset:-12%;z-index:0;pointer-events:none}.avatar-blob{position:absolute;z-index:0;pointer-events:none;filter:blur(16px);opacity:calc(var(--avatar-glow) * var(--blob-opacity,1));transform:scale(calc(.65 + var(--avatar-glow) * .25));will-change:transform,opacity;transition:opacity 1.5s cubic-bezier(.16,1,.3,1),transform 1.5s cubic-bezier(.16,1,.3,1)}.avatar-blob-1{--blob-opacity:0.75;--avatar-blob-x:30%;--avatar-blob-y:45%;top:-10%;left:-10%;width:120%;height:120%;border-radius:30% 70% 55% 45%/65% 35% 70% 30%;clip-path:polygon(50% 0%,64% 7%,80% 4%,94% 18%,100% 36%,92% 52%,100% 68%,84% 84%,66% 92%,50% 100%,32% 92%,18% 96%,6% 82%,0% 62%,6% 42%,0% 22%,18% 10%,34% 6%);background:radial-gradient(ellipse at var(--avatar-blob-x) 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var(--accent);box-shadow:0 14px 28px var(--shadow);object-fit:cover;transition:transform 200ms ease,box-shadow 200ms ease}#avatar-container:hover .avatar{box-shadow:0 18px 34px var(--shadow)}p.center{text-align:center}#contacts{margin:2rem 0;container-type:inline-size}#contact-list{display:flex;align-items:center;justify-content:center;margin-top:0}#contact-list a{color:var(--text);background-image:none}ul.fa-ul{list-style:none;margin:0;padding:0}#contact-list .contact-item{margin:0;display:flex;align-items:center;gap:.5rem}.contact-list{display:flex;flex-wrap:wrap;gap:.6rem 1.6rem;align-items:center;justify-content:center}.contact-list-icons{gap:.58rem;justify-content:center}#contact-list a{line-height:1.2000002;white-space:nowrap;background-position:0 100%;background-size:100% .4em}#contact-list a:hover{background-size:150% 1.8em}.contact-list-icons a{display:inline-block;width:auto;height:auto;padding:0 .08em}.contact-list-icons 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greeting-wave-chaos{0%{--wave-glow-1-x:30%;--wave-glow-1-y:45%;--wave-glow-2-x:65%;--wave-glow-2-y:50%;--wave-glow-3-x:40%;--wave-glow-3-y:40%;--wave-glow-4-x:55%;--wave-glow-4-y:60%;--wave-glow-5-x:50%;--wave-glow-5-y:55%}14%{--wave-glow-1-x:18%;--wave-glow-1-y:66%;--wave-glow-2-x:78%;--wave-glow-2-y:24%;--wave-glow-3-x:48%;--wave-glow-3-y:70%;--wave-glow-4-x:34%;--wave-glow-4-y:38%;--wave-glow-5-x:68%;--wave-glow-5-y:58%}31%{--wave-glow-1-x:72%;--wave-glow-1-y:34%;--wave-glow-2-x:42%;--wave-glow-2-y:76%;--wave-glow-3-x:22%;--wave-glow-3-y:30%;--wave-glow-4-x:76%;--wave-glow-4-y:62%;--wave-glow-5-x:36%;--wave-glow-5-y:50%}49%{--wave-glow-1-x:44%;--wave-glow-1-y:20%;--wave-glow-2-x:82%;--wave-glow-2-y:68%;--wave-glow-3-x:62%;--wave-glow-3-y:44%;--wave-glow-4-x:26%;--wave-glow-4-y:72%;--wave-glow-5-x:54%;--wave-glow-5-y:24%}67%{--wave-glow-1-x:76%;--wave-glow-1-y:74%;--wave-glow-2-x:28%;--wave-glow-2-y:34%;--wave-glow-3-x:70%;--wave-glow-3-y:18%;--wave-glow-4-x:48%;--wave-glow-4-y:76%;--wave-glow-5-x:22%;--wave-glow-5-y:56%}83%{--wave-glow-1-x:24%;--wave-glow-1-y:30%;--wave-glow-2-x:58%;--wave-glow-2-y:78%;--wave-glow-3-x:76%;--wave-glow-3-y:52%;--wave-glow-4-x:36%;--wave-glow-4-y:24%;--wave-glow-5-x:72%;--wave-glow-5-y:36%}100%{--wave-glow-1-x:30%;--wave-glow-1-y:45%;--wave-glow-2-x:65%;--wave-glow-2-y:50%;--wave-glow-3-x:40%;--wave-glow-3-y:40%;--wave-glow-4-x:55%;--wave-glow-4-y:60%;--wave-glow-5-x:50%;--wave-glow-5-y:55%}}@media(prefers-reduced-motion:reduce){.greeting-wave-fill{animation:none}}@media(max-width:360px){h1.navbar-h1{font-size:1.6rem}.navbar-nav{justify-content:center}}